Edit Profile (opens in new tab) Hofmann, Karl Heinrich Compute Distance To: Compute Author ID: hofmann.karl-heinrich Published as: Hofmann, Karl Heinrich; Hofmann, Karl H.; Hofmann, K. H.; Hofmann, Karl; Hofmann, Karl-Heinrich; Hofmann, K-H. more...less Homepage: https://www.mathematik.tu-darmstadt.de/fb/personal/details/karl_heinrich_hofmann... External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 259 Publications since 1958, including 23 Books 11 Contributions as Editor · 5 Further Contributions Reviewing Activity: 98 Reviews Biographic References: 4 Publications Co-Authors: 77 Co-Authors with 190 Joint Publications 1,512 Co-Co-Authors all top 5 Co-Authors 80 single-authored 38 Morris, Sidney A. 22 Mislove, Michael W. 20 Lawson, Jimmie Don 16 Mostert, Paul S. 14 Hilgert, Joachim 9 Ruppert, Wolfgang A. F. 8 Russo, Francesco Giuseppe 7 Stralka, Albert R. 6 Kramer, Linus 6 Martin, John Rowlay 5 Herfort, Wolfgang N. 5 Strambach, Karl 4 Dauns, John 4 Keimel, Klaus 3 Aigner, Martin 3 Neeb, Karl-Hermann 3 Scott, Dana Stewart 3 Ziegler, Günter Matthias 2 Akivis, Maks A. 2 Dahmen, Rafael 2 Degen, Wendelin L. F. 2 Đoković, Dragomir Ž. 2 Fuchs, László 2 Gierz, Gerhard 2 Hernández, Salvador 2 Hoffmann, Rudolf- Eberhard 2 Kneser, Hellmuth 2 Koch, Robert Jacob 2 Liukkonen, John R. 2 Mukherjea, Arunava 2 Shelekhov, Alexander M. 2 Smith, Jonathan Dallas Hayden 2 Stroppel, Markus Johannes 2 Wright, Fred B. 1 Ardanza-Trevijano, Sergio 1 Berglund, John F. 1 Betsch, Gerhard 1 Carruth, J. Harvey 1 Chasco, María Jesús 1 Chigogidze, Alex Ch. 1 Comfort, William Wistar 1 Day, Jane Maxwell 1 Hamrouni, Hatem 1 Hazod, Wilfried 1 He, Jian 1 Heldermann, Norbert 1 Hernández, Julio César 1 Hucklebery, Alan T. 1 Hunter, Robert P. 1 Jurek, Zbigniew J. 1 Jürgensen, Helmut 1 Keith, Verena S. 1 Magill, Kenneth D. jun. 1 Martin Peinador, Elena 1 Michaelis, Walter J. 1 Münder, Richard 1 Murof, H. T. 1 Nickolas, Peter 1 Oates-Williams, Sheila 1 Obraztsov, Viatcheslav N. 1 Pestov, Vladimir G. 1 Poguntke, Detlev 1 Pym, John S. 1 Remus, Dieter 1 Robbie, Desmond A. 1 Scheffler, Hans-Peter 1 Shakhmatov, Dmitri B. 1 Skryago, A. M. 1 Stoyanov, Luchezar N. 1 Terp, Christian 1 Thayer, Francisco Javier 1 Vinberg, Èrnest Borisovich 1 Watkins, Fred A. 1 Weinert, Hanns Joachim 1 Wille, Rudolf 1 Willis, George A. 1 Wolf, Joseph Albert 1 Wu, Ta-Sun 1 Wüstner, Michael 1 Zeuner, Hansmartin all top 5 Serials 22 Semigroup Forum 14 Mathematische Zeitschrift 11 Mathematische Annalen 10 Topology and its Applications 10 Journal of Lie Theory 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Archiv der Mathematik 8 Transactions of the American Mathematical Society 8 Topology Proceedings 7 Seminar Sophus Lie 5 Bulletin of the Australian Mathematical Society 5 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 5 Memoirs of the American Mathematical Society 5 Journal of Group Theory 5 Bulletin of the American Mathematical Society 5 De Gruyter Studies in Mathematics 4 Lecture Notes in Mathematics 3 Advances in Mathematics 3 Dissertationes Mathematicae 3 Geometriae Dedicata 3 Journal für die Reine und Angewandte Mathematik 3 Forum Mathematicum 2 Rocky Mountain Journal of Mathematics 2 Fundamenta Mathematicae 2 Indagationes Mathematicae 2 Journal of Algebra 2 Journal of Pure and Applied Algebra 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 De Gruyter Expositions in Mathematics 1 Houston Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematische Semesterberichte 1 Beiträge zur Algebra und Geometrie 1 Acta Scientiarum Mathematicarum 1 Algebra Universalis 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematica Slovaca 1 Mathematika 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publicationes Mathematicae Debrecen 1 Annales Societatis Mathematicae Polonae. Series IV 1 Note di Matematica 1 Journal of Theoretical Probability 1 Historia Mathematica 1 Journal of the Australian Mathematical Society. Series A 1 Bulletin of the American Mathematical Society. New Series 1 Applied Categorical Structures 1 Transformation Groups 1 Journal of the Australian Mathematical Society 1 Journal of Algebra and its Applications 1 Oberwolfach Reports 1 Proceedings of the Cambridge Philosophical Society 1 Berliner Studienreihe zur Mathematik 1 Encyclopedia of Mathematics and Its Applications 1 Lecture Notes in Pure and Applied Mathematics 1 London Mathematical Society Lecture Note Series 1 Research and Exposition in Mathematics 1 EMS Tracts in Mathematics 1 Mathematisch-Physikalische Semesterberichte 1 Axioms 1 Biometrische Zeitschrift 1 Oxford Mathematical Monographs all top 5 Fields 169 Topological groups, Lie groups (22-XX) 50 General topology (54-XX) 33 Group theory and generalizations (20-XX) 30 Order, lattices, ordered algebraic structures (06-XX) 29 Nonassociative rings and algebras (17-XX) 23 General and overarching topics; collections (00-XX) 21 History and biography (01-XX) 21 Category theory; homological algebra (18-XX) 15 Functional analysis (46-XX) 12 Algebraic topology (55-XX) 12 Manifolds and cell complexes (57-XX) 7 Convex and discrete geometry (52-XX) 6 Differential geometry (53-XX) 5 Number theory (11-XX) 5 Geometry (51-XX) 4 Combinatorics (05-XX) 4 Associative rings and algebras (16-XX) 4 Real functions (26-XX) 4 Abstract harmonic analysis (43-XX) 4 Probability theory and stochastic processes (60-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic geometry (14-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General algebraic systems (08-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 213 Publications have been cited 2,894 times in 2,172 Documents Cited by ▼ Year ▼ A compendium of continuous lattices. Zbl 0452.06001Gierz, G.; Hofmann, Karl Heinrich; Keimel, K.; Lawson, J. D.; Mislove, M.; Scott, D. S. 608 1980 Continuous lattices and domains. Zbl 1088.06001Gierz, Gerhard; Hofmann, Karl; Keimel, Klaus; Lawson, Jimmie; Mislove, Michael; Scott, Dana S. 332 2003 Elements of compact semigroups. Zbl 0161.01901Hofmann, Karl Heinrich; Mostert, P. S. 206 1966 Lie groups, convex cones, and semigroups. Zbl 0701.22001Hilgert, Joachim; Hofmann, Karl Heinrich; Lawson, Jimmie D. 99 1989 Compact semitopological semigroups and weakly almost periodic functions. Zbl 0155.18702Berglund, J. F.; Hofmann, Karl Heinrich 87 1967 The spectral theory of distributive continuous lattices. Zbl 0402.54043Hofmann, Karl Heinrich; Lawson, Jimmie D. 74 1978 The Lie theory of connected pro-Lie groups. A structure theory for pro-Lie algebras, pro-Lie groups, and connected locally compact groups. Zbl 1153.22006Hofmann, Karl H.; Morris, Sidney A. 57 2007 The Pontryagin duality of compact O-dimensional semilattices and its applications. Zbl 0281.06004Hofmann, Karl Heinrich; Mislove, Michael; Stralka, Albert 56 1974 Representation of rings by sections. Zbl 0174.05703Dauns, J.; Hofmann, Karl Heinrich 56 1968 The structure of compact groups. A primer for the student – a handbook for the expert. Zbl 0919.22001Hofmann, Karl H.; Morris, Sidney A. 53 1998 Representations of algebras by continuous sections. Zbl 0237.16018Hofmann, Karl Heinrich 48 1972 Splitting in topological groups. Zbl 0163.02705Hofmann, Karl Heinrich; Mostert, P. 46 1963 The representation of biregular rings by sheaves. Zbl 0178.37003Dauns, John; Hofmann, Karl Heinrich 46 1966 The structure of compact groups. A primer for the student – A handbook for the expert. 3rd revised and augmented ed. Zbl 1277.22001Hofmann, Karl H.; Morris, Sidney A. 40 2013 Topological groups and semigroups. Zbl 0798.22001Comfort, W. W.; Hofmann, Karl Heinrich; Remus, D. 38 1992 Topological and analytic loops. Zbl 0747.22004Hofmann, Karl Heinrich; Strambach, K. 34 1990 The structure of compact groups. A primer for the student – a handbook for the expert. 2nd revised and augmented edition. Zbl 1139.22001Hofmann, Karl H.; Morris, Sidney A. 33 2006 Proofs from THE BOOK. Including illustrations by Karl H. Hofmann. Revised and enlarged 6th edition. Zbl 1392.00001Aigner, Martin; Ziegler, Günter M. 29 2018 Proofs from THE BOOK. With illustrations by Karl H. Hofmann. 5th revised and enlarged ed. Zbl 1294.01001Aigner, Martin; Ziegler, Günter M. 26 2014 Topologische Loops. Zbl 0095.02701Hofmann, Karl Heinrich 23 1958 The algebraic theory of compact Lawson semilattices. Applications of Galois connections to compact semilattices. Zbl 0359.06016Hofmann, Karl Heinrich; Stralka, Albert 21 1976 Weight and c. Zbl 0728.22006Hofmann, Karl Heinrich; Morris, Sidney A. 21 1990 Old and new on Sl(2). Zbl 0605.22004Hilgert, Joachim; Hofmann, Karl Heinrich 20 1985 Local compactness and continuous lattices. Zbl 0464.06005Hofmann, Karl Heinrich; Mislove, Michael W. 17 1981 A general character theory for partially ordered sets and lattices. Zbl 0243.18005Hofmann, Karl Heinrich; Keimel, Klaus 16 1972 Topological entropy of group and semigroup actions. Zbl 0865.22003Hofmann, K. H.; Stojanov, L. N. 16 1995 Linearly ordered semigroups: Historical origins and A. H. Clifford’s influence. Zbl 0901.06012Hofmann, K. H.; Lawson, J. D. 16 1996 On the density of the image of the exponential function. Zbl 0382.22005Hofmann, Karl Heinrich; Mukherjea, Arunava 15 1978 Lie algebras with subalgebras of co-dimension one. Zbl 0142.27601Hofmann, Karl Heinrich 15 1965 Concentration functions and a class of non-compact groups. Zbl 0471.60015Hofmann, Karl Heinrich; Mukherjea, Arunava 15 1981 The local theory of semigroups in nilpotent Lie groups. Zbl 0531.22002Hofmann, Karl Heinrich; Lawson, J. D. 15 1981 The probability that \(x\) and \(y\) commute in a compact group. Zbl 1261.22006Hofmann, Karl H.; Russo, Francesco G. 14 2012 Semigroups in Lie groups, semialgebras in Lie algebras. Zbl 0565.22007Hilgert, Joachim; Hofmann, Karl Heinrich 14 1985 Foundations of Lie semigroups. Zbl 0524.22003Hofmann, Karl Heinrich; Lawson, J. D. 14 1983 Topological left-loops. Zbl 1267.55003Hofmann, Karl H.; Martin, John R. 13 2012 Topologische distributive Doppelloops. Zbl 0095.02704Hofmann, Karl Heinrich 12 1959 Pro-Lie groups which are infinite-dimensional Lie groups. Zbl 1165.22017Hofmann, K. H.; Neeb, K.-H. 12 2009 The structure of almost connected pro-Lie groups. Zbl 1226.22002Hofmann, Karl H.; Morris, Sidney A. 12 2011 Irreducibility and generation in continuous lattices. Zbl 0354.06004Hofmann, Karl Heinrich; Lawson, Jimmie D. 11 1977 The duality of compact semigroups and \(C^ *\)-bigebras. Zbl 0211.43301Hofmann, Karl Heinrich 11 1970 Locally compact semigroups in which a semigroup with compact complement is dense. Zbl 0112.25604Hofmann, Karl Heinrich 11 1963 Categories with convergence, exponential functors, and the cohomology of compact abelian groups. Zbl 0153.34101Hofmann, Karl Heinrich 11 1968 Lie’s fundamental theorems for local analytical loops. Zbl 0596.22002Hofmann, Karl Heinrich; Strambach, Karl 11 1986 Transitive actions of compact groups and topological dimension. Zbl 0972.22004Hofmann, Karl H.; Morris, Sidney A. 10 2000 Topologische Doppelloops. Zbl 0095.02703Hofmann, Karl Heinrich 10 1958 Free compact groups. I: Free compact abelian groups. Zbl 0589.22003Hofmann, Karl Heinrich; Morris, Sidney A. 10 1986 Compact extensions of compactly generated nilpotent groups are pro-Lie. Zbl 0489.22006Hofmann, Karl Heinrich; Liukkonen, John R.; Mislove, Michael W. 10 1982 The surjectivity question for the exponential function of real Lie groups: A status report. Zbl 0888.22003Đoković, Dragomir Ž.; Hofmann, Karl H. 9 1997 Lie groups and subsemigroups with surjective exponential function. Zbl 0889.22001Hofmann, Karl H.; Ruppert, Wolfgang A. F. 9 1997 Projective limits of finite-dimensional Lie groups. Zbl 1037.22041Hofmann, Karl H.; Morris, Sidney A. 9 2003 Sophus Lie’s third fundamental theorem and the adjoint functor theorem. Zbl 1061.22001Hofmann, Karl H.; Morris, Sidney A. 9 2005 Topologische Loops mit schwachen Assoziativitätsforderungen. Zbl 0095.02702Hofmann, Karl Heinrich 9 1958 Zerfällung topologischer Gruppen. Zbl 0122.03806Hofmann, Karl Heinrich 9 1964 Periodic locally compact groups. A study of a class of totally disconnected topological groups. Zbl 1423.22001Herfort, Wolfgang; Hofmann, Karl H.; Russo, Francesco G. 9 2019 Invariant quadratic forms on finite dimensional Lie algebras. Zbl 0573.17006Hofmann, Karl Heinrich; Keith, Verena S. 9 1986 Homogeneous locally compact groups with compact boundary. Zbl 0112.25701Hofmann, Karl Heinrich 8 1963 Topologische Halbgruppen mit dichter submonogener Unterhalbgruppe. Zbl 0134.03603Hofmann, Karl Heinrich 8 1960 On Sophus Lie’s fundamental theorems. II. Zbl 0564.22006Hofmann, Karl Heinrich; Lawson, Jimmie D. 8 1984 Lorentzian cones in real Lie algebras. Zbl 0571.22015Hilgert, Joachim; Hofmann, Karl Heinrich 8 1985 Hyperplane subalgebras of real Lie algebras. Zbl 0718.17006Hofmann, Karl H. 8 1990 On the order-theoretical foundation of a theory of quasicompactly generated spaces without separation axiom. Zbl 0536.06005Hofmann, Karl Heinrich; Lawson, Jimmie D. 8 1984 Divisible subsemigroups of Lie groups. Zbl 0494.22002Hofmann, Karl Heinrich; Lawson, Jimmie D. 8 1983 On Sophus Lie’s fundamental theorems. I. Zbl 0525.22004Hofmann, Karl Heinrich; Lawson, Jimmie D. 8 1983 Push-outs and strict projective limits of semilattices. Zbl 0385.06003Hofmann, Karl Heinrich; Stralka, Albert 7 1973 Cohomology theories for compact abelian groups. With an appendix by Eric C. Nummela. Zbl 0292.55001Hofmann, Karl Heinrich; Mostert, Paul S. 7 1973 A memo on the exponential function and regular points. Zbl 0768.22002Hofmann, Karl H. 7 1992 Nonmeasurable subgroups of compact groups. Zbl 1332.22005Hernández, Salvador; Hofmann, Karl H.; Morris, Sidney A. 7 2016 Pro-Lie groups: a survey with open problems. Zbl 1415.22005Hofmann, Karl H.; Morris, Sidney A. 7 2015 Controllability of systems of a nilpotent Lie group. Zbl 0579.22010Hilgert, Joachim; Hofmann, Karl Heinrich; Lawson, Jimmie D. 7 1985 On Sophus Lie’s fundamental theorem. Zbl 0597.22005Hilgert, Joachim; Hofmann, Karl Heinrich 7 1986 Topological semigroups history, theory, applications. Zbl 0361.22001Hofmann, Karl Heinrich 6 1976 The centralizing theorem for left normal groups of units in compact monoids. Zbl 0223.22002Hofmann, Karl Heinrich; Mislove, Michael 6 1971 Mapping cylinders and compact monoids. Zbl 0264.22004Hofmann, Karl Heinrich; Stralka, Albert 6 1973 Normalizers of compact subgroups, the existence of commuting automorphisms, and applications to operator semistable measures. Zbl 0911.22004Hazod, W.; Hofmann, K. H.; Scheffler, H.-P.; Wüstner, M.; Zeuner, H. 6 1998 The exponential function of locally connected compact abelian groups. Zbl 1041.22005Hofmann, Karl H.; Morris, Sidney A.; Poguntke, Detlev 6 2004 Near abelian profinite groups. Zbl 1321.22001Hofmann, Karl H.; Russo, Francesco G. 6 2015 Die topologische Struktur des Raumes der Epimorphismen kompakter Gruppen. Zbl 0135.06603Hofmann, Karl Heinrich; Mostert, P. S. 6 1965 Über das Nilradikal lokal kompakter Gruppen. Zbl 0138.02903Hofmann, Karl Heinrich 6 1966 Compact homeomorphism groups are profinite. Zbl 1247.22007Hofmann, Karl H.; Morris, Sidney A. 6 2012 The compact generation of closed subgroups of locally compact groups. Zbl 1179.22003Hofmann, Karl Heinrich; Neeb, Karl-Hermann 6 2009 Lie semialgebras are real phenomena. Zbl 0533.17002Hilgert, Joachim; Hofmann, Karl Heinrich 6 1984 Compactly embedded Cartan algebras and invariant cones in Lie algebras. Zbl 0685.22004Hilgert, Joachim; Hofmann, Karl Heinrich 6 1989 Transitive actions of locally compact groups on locally contractible spaces. Zbl 1330.22023Hofmann, Karl H.; Kramer, Linus 5 2015 Introduction to the theory of compact groups. Part I. 2nd printing. Zbl 0229.22006Hofmann, Karl Heinrich 5 1968 Clan acts and codimension. Zbl 0255.54032Day, Jane M.; Hofmann, Karl Heinrich 5 1972 The analytical and topological theory of semigroups. Trends and developments. Based on a conference held Jan. 30-Feb. 4, 1989, in Oberwolfach, Germany. Zbl 0702.00013 5 1990 On the automorphism group of cones and wedges. Zbl 0604.17003Hilgert, Joachim; Hofmann, Karl Heinrich 5 1986 Compact subgroups of Lie groups and locally compact groups. Zbl 0803.22003Hofmann, Karl H.; Terp, Christian 5 1994 One dimensional coset spaces. Zbl 0159.03202Hofmann, Karl Heinrich; Mostert, P. S. 5 1968 Spectral theory of algebras and adjunction of identity. Zbl 0169.36003Dauns, John; Hofmann, Karl Heinrich 5 1969 From a topological theory of semigroups to a geometric one. Zbl 0824.22008Hofmann, Karl H. 5 1995 Correction to “Free compact groups. I: Free compact abelian groups”. Zbl 0627.22004Hofmann, Karl Heinrich; Morris, Sidney A. 5 1988 Continuity characterizing totally disconnected locally compact groups. Zbl 1317.22004Hofmann, Karl H.; Willis, George A. 5 2015 Stably continuous frames, and their topological manifestations. Zbl 0552.06005Hofmann, Karl Heinrich 5 1984 The Akivis algebra of a homogeneous loop. Zbl 0601.22002Hofmann, Karl Heinrich; Strambach, Karl 5 1986 The structure of compact groups. A primer for the student – a handbook for the expert. 4th revised and expanded edition. Zbl 1441.22001Hofmann, Karl H.; Morris, Sidney A. 5 2020 Bundles and sheaves are equivalent in the category of Banach spaces. Zbl 0346.46053Hofmann, Karl Heinrich 4 1977 Amalgamation in categories with concrete duals. Zbl 0381.18008Hofmann, Karl Heinrich; Mislove, Michael 4 1976 Epics of compact Lawson semilattices are surjective. Zbl 0309.18001Hofmann, Karl Heinrich; Mislove, Michael 4 1975 Compact affine monoids, harmonic analysis and information theory. Zbl 1266.22003Hofmann, Karl H.; Mislove, Michael 4 2012 The structure of compact groups. A primer for the student – a handbook for the expert. 4th revised and expanded edition. Zbl 1441.22001Hofmann, Karl H.; Morris, Sidney A. 5 2020 When is the sum of two closed subgroups closed in a locally compact abelian group? Zbl 1472.22003Herfort, Wolfgang; Hofmann, Karl H.; Russo, Francesco G. 3 2020 Automatic continuity of abstract homomorphisms between locally compact and Polish groups. Zbl 1483.22001Braun, O.; Hofmann, Karl H.; Kramer, L. 1 2020 On weakly complete group algebras of compact groups. Zbl 1442.22011Hofmann, Karl Heinrich; Kramer, Linus 1 2020 Periodic locally compact groups. A study of a class of totally disconnected topological groups. Zbl 1423.22001Herfort, Wolfgang; Hofmann, Karl H.; Russo, Francesco G. 9 2019 Locally compact abelian \(p\)-groups. Zbl 1429.22001Herfort, Wolfgang; Hofmann, Karl H.; Russo, Francesco G. 2 2019 On the component factor group \(G/G_{0}\) of a pro-Lie group \(G\). Zbl 1412.22002Dahmen, Rafael; Hofmann, Karl H. 1 2019 The pro-Lie group aspect of weakly complete algebras and weakly complete group Hopf algebras. Zbl 1419.22007Dahmen, Rafael; Hofmann, Karl Heinrich 1 2019 The Sylow structure of scalar automorphism groups. Zbl 1442.22006Herfort, Wolfgang; Hofmann, Karl H.; Kramer, Linus; Russo, Francesco G. 1 2019 Proofs from THE BOOK. Including illustrations by Karl H. Hofmann. Revised and enlarged 6th edition. Zbl 1392.00001Aigner, Martin; Ziegler, Günter M. 29 2018 In memoriam: Klaus Keimel (1939–2017). Zbl 1390.01079Hofmann, Karl; Lawson, Jimmie 1 2018 Locally compact groups approximable by subgroups isomorphic to \(\mathbb{Z}\) or \(\mathbb{R}\). Zbl 1354.22006Hamrouni, Hatem; Hofmann, Karl H. 3 2017 Nonmeasurable subgroups of compact groups. Zbl 1332.22005Hernández, Salvador; Hofmann, Karl H.; Morris, Sidney A. 7 2016 Pro-Lie groups: a survey with open problems. Zbl 1415.22005Hofmann, Karl H.; Morris, Sidney A. 7 2015 Near abelian profinite groups. Zbl 1321.22001Hofmann, Karl H.; Russo, Francesco G. 6 2015 Transitive actions of locally compact groups on locally contractible spaces. Zbl 1330.22023Hofmann, Karl H.; Kramer, Linus 5 2015 Continuity characterizing totally disconnected locally compact groups. Zbl 1317.22004Hofmann, Karl H.; Willis, George A. 5 2015 Erratum to: “Transitive actions of locally compact groups on locally contractible spaces”. Zbl 1330.22024Hofmann, Karl H.; Kramer, Linus 2 2015 Proofs from THE BOOK. With illustrations by Karl H. Hofmann. 4th revised and expanded ed. (Das BUCH der Beweise. Mit Zeichnungen von Karl H. Hofmann.) Zbl 1297.00006Aigner, Martin; Ziegler, Günter M. 1 2015 Möbius manifolds, monoids, and retracts of topological groups. Zbl 1337.22001Hofmann, Karl H.; Martin, John R. 1 2015 Proofs from THE BOOK. With illustrations by Karl H. Hofmann. 5th revised and enlarged ed. Zbl 1294.01001Aigner, Martin; Ziegler, Günter M. 26 2014 Retracts of topological groups and compact monoids. Zbl 1364.54022Hofmann, Karl H.; Martin, John R. 3 2014 The structure of compact groups. A primer for the student – A handbook for the expert. 3rd revised and augmented ed. Zbl 1277.22001Hofmann, Karl H.; Morris, Sidney A. 40 2013 The probability that \(x^m\) and \(y^n\) commute in a compact group. Zbl 1271.22002Hofmann, Karl H.; Russo, Francesco G. 4 2013 The probability that \(x\) and \(y\) commute in a compact group. Zbl 1261.22006Hofmann, Karl H.; Russo, Francesco G. 14 2012 Topological left-loops. Zbl 1267.55003Hofmann, Karl H.; Martin, John R. 13 2012 Compact homeomorphism groups are profinite. Zbl 1247.22007Hofmann, Karl H.; Morris, Sidney A. 6 2012 Compact affine monoids, harmonic analysis and information theory. Zbl 1266.22003Hofmann, Karl H.; Mislove, Michael 4 2012 The weights of closed subgroups of a locally compact group. Zbl 1272.22004Hernández, Salvador; Hofmann, Karl H.; Morris, Sidney A. 4 2012 The structure of almost connected pro-Lie groups. Zbl 1226.22002Hofmann, Karl H.; Morris, Sidney A. 12 2011 The Dauns–Hofmann theorem revisited. Zbl 1234.46043Hofmann, Karl Heinrich 2 2011 Local splitting of locally compact groups and pro-Lie groups. Zbl 1246.22003Hofmann, Karl H.; Morris, Sidney A. 1 2011 Pro-Lie groups which are infinite-dimensional Lie groups. Zbl 1165.22017Hofmann, K. H.; Neeb, K.-H. 12 2009 The compact generation of closed subgroups of locally compact groups. Zbl 1179.22003Hofmann, Karl Heinrich; Neeb, Karl-Hermann 6 2009 Contributions to the structure theory of connected pro-Lie groups. Zbl 1221.22001Hofmann, Karl H.; Morris, Sidney A. 3 2009 Iwasawa’s local splitting theorem for pro-Lie groups. Zbl 1154.22022Hofmann, Karl H.; Morris, Sidney A. 2 2008 On the pro-Lie group theorem and the closed subgroup theorem. Zbl 1148.22002Hofmann, Karl H.; Morris, Sidney A. 1 2008 The Lie theory of connected pro-Lie groups. A structure theory for pro-Lie algebras, pro-Lie groups, and connected locally compact groups. Zbl 1153.22006Hofmann, Karl H.; Morris, Sidney A. 57 2007 Open mapping theorem for topological groups. Zbl 1387.22001Hofmann, Karl H.; Morris, Sidney A. 4 2007 An open mapping theorem for pro-Lie groups. Zbl 1155.22002Hofmann, Karl H.; Morris, Sidney A. 2 2007 The structure of compact groups. A primer for the student – a handbook for the expert. 2nd revised and augmented edition. Zbl 1139.22001Hofmann, Karl H.; Morris, Sidney A. 33 2006 Sophus Lie’s third fundamental theorem and the adjoint functor theorem. Zbl 1061.22001Hofmann, Karl H.; Morris, Sidney A. 9 2005 The exponential function of locally connected compact abelian groups. Zbl 1041.22005Hofmann, Karl H.; Morris, Sidney A.; Poguntke, Detlev 6 2004 The structure of abelian pro-Lie groups. Zbl 1058.22003Hofmann, Karl H.; Morris, Sidney A. 4 2004 Lie theory and the structure of pro-Lie groups and pro-Lie algebras. Zbl 1082.22003Hofmann, Karl H.; Morris, Sidney A. 1 2004 Continuous lattices and domains. Zbl 1088.06001Gierz, Gerhard; Hofmann, Karl; Keimel, Klaus; Lawson, Jimmie; Mislove, Michael; Scott, Dana S. 332 2003 Projective limits of finite-dimensional Lie groups. Zbl 1037.22041Hofmann, Karl H.; Morris, Sidney A. 9 2003 An interview with Karl H. Hofmann on the occasion of his seventieth birthday. Zbl 1005.01511Lawson, Jimmie D. 1 2002 Compact groups with large abelian subgroups. Zbl 1029.22005Hofmann, Karl H.; Morris, Sidney A. 1 2002 A category of topological groups suitable for a structure theory of locally compact groups. Zbl 1081.22003Hofmann, Karl H. 1 2002 A structure theorem on compact groups. Zbl 0980.22008Hofmann, Karl H.; Morris, Sidney A. 4 2001 Transitive actions of compact groups and topological dimension. Zbl 0972.22004Hofmann, Karl H.; Morris, Sidney A. 10 2000 A history of topological and analytical semigroups. A personal view. Zbl 0952.22001Hofmann, Karl H. 2 2000 Analysis I. An introduction to mathematics via analysis in English and German. Zbl 0960.26001Hofmann, Karl Heinrich 2 2000 G-spaces and fixed point sets. Zbl 0961.22007Hofmann, Karl Heinrich; Martin, John R. 2 2000 An illustration of the power of structure theory. Zbl 0978.22002Hofmann, Karl H. 1 2000 The structure of compact groups. A primer for the student – a handbook for the expert. Zbl 0919.22001Hofmann, Karl H.; Morris, Sidney A. 53 1998 Normalizers of compact subgroups, the existence of commuting automorphisms, and applications to operator semistable measures. Zbl 0911.22004Hazod, W.; Hofmann, K. H.; Scheffler, H.-P.; Wüstner, M.; Zeuner, H. 6 1998 Extensions of compact abelian groups by discrete ones and their duality theory. II. Zbl 0909.22006Fuchs, László; Hofmann, Karl H. 1 1998 The surjectivity question for the exponential function of real Lie groups: A status report. Zbl 0888.22003Đoković, Dragomir Ž.; Hofmann, Karl H. 9 1997 Lie groups and subsemigroups with surjective exponential function. Zbl 0889.22001Hofmann, Karl H.; Ruppert, Wolfgang A. F. 9 1997 Compact groups and fixed point sets. Zbl 0888.22001Chigogidze, Alex; Hofmann, Karl H.; Martin, John R. 3 1997 Extensions of compact Abelian groups by discrete ones and their duality theory. I. Zbl 0906.22002Fuchs, Laszlo; Hofmann, Karl H. 2 1997 Linearly ordered semigroups: Historical origins and A. H. Clifford’s influence. Zbl 0901.06012Hofmann, K. H.; Lawson, J. D. 16 1996 Locally compact groups, residual Lie groups, and varieties generated by Lie groups. Zbl 0858.22005Hofmann, Karl H.; Morris, Sidney A.; Stroppel, Markus 4 1996 Varieties of topological groups, Lie groups and SIN-groups. Zbl 0853.22001Hofmann, Karl H.; Morris, Sidney A.; Stroppel, Markus 4 1996 Some analytical semigroups occurring in probability theory. Zbl 0860.60008Hofmann, Karl H.; Jurek, Zbigniew J. 2 1996 Principles underlying the degeneracy of topological models of the untyped lambda calculus. Zbl 0907.18004Hofmann, Karl H.; Mislove, Michael W. 1 1996 Topological entropy of group and semigroup actions. Zbl 0865.22003Hofmann, K. H.; Stojanov, L. N. 16 1995 From a topological theory of semigroups to a geometric one. Zbl 0824.22008Hofmann, Karl H. 5 1995 Semigroups in algebra, geometry and analysis. Zbl 0829.00020 3 1995 Epimorphisms of \(C^*\)-algebras are surjective. Zbl 0829.46044Hofmann, Karl Heinrich; Neeb, K.-H. 3 1995 Locally compact groups with closed subgroups open and \(p\)-adic. Zbl 0844.22013Hofmann, Karl H.; Morris, Sidney A.; Oates-Williams, Sheila; Obraztsov, V. N. 2 1995 All compact Hausdorff lambda models are degenerate. Zbl 0818.03005Hofmann, Karl Heinrich; Mislove, M. W. 1 1995 Compact subgroups of Lie groups and locally compact groups. Zbl 0803.22003Hofmann, Karl H.; Terp, Christian 5 1994 Semigroups and Hilbert’s fifth problem. Zbl 0823.22003Hofmann, Karl H. 3 1994 Small large subgroups of a topological group. Zbl 0891.22001Hofmann, K. H.; Morris, S. A.; Nickolas, P.; Pestov, V. 1 1994 On porcupine varieties in Lie algebras. Zbl 0791.17007Hofmann, Karl Heinrich; Ruppert, Wolfgang A. F. 1 1994 On finiteness theorems and porcupine varieties in Lie algebras. Zbl 0791.22005Hofmann, Karl Heinrich; Lawson, Jimmie D.; Ruppert, Wolfgang A. F. 1 1993 Generators on the arc component of compact connected groups. Zbl 0794.22004Hofmann, Karl H.; Morris, Sidney A. 1 1993 Topological groups and semigroups. Zbl 0798.22001Comfort, W. W.; Hofmann, Karl Heinrich; Remus, D. 38 1992 A memo on the exponential function and regular points. Zbl 0768.22002Hofmann, Karl H. 7 1992 Finitely generated connected locally compact groups. Zbl 0788.22004Hofmann, Karl H.; Morris, Sidney A. 3 1992 On the history of the term semigroup. (Zur Geschichte des Halbgruppenbegriffs.) Zbl 0751.01010Hofmann, Karl H. 2 1992 Compact elements in solvable real Lie algebras. Zbl 0857.17007Hofmann, Karl H. 2 1992 Near-Cartan algebras and groups. Zbl 0890.17004Hofmann, Karl H. 2 1992 On the interior of subsemigroups of Lie groups. Zbl 0729.22010Hofmann, Karl H.; Ruppert, Wolfgang A. F. 4 1991 The divisibility problem for subsemigroups of Lie groups. Zbl 0761.22001Hofmann, Karl Heinrich; Ruppert, W. A. F. 3 1991 Free compact groups. IV: Splitting the component and the structure of the commutator group. Zbl 0729.22005Hofmann, Karl H.; Morris, Sidney A. 3 1991 Idempotent multiplications on surfaces and aspherical spaces. Zbl 0801.57026Hofmann, Karl H.; Strambach, Karl 2 1991 Einige Ideen Sophus Lies - hundert Jahre danach. Ein Kolloquiumsvortrag. (Some ideas of Sophus Lie - hundred years after. A lecture). Zbl 0719.01011Hofmann, Karl H. 1 1991 Torsion and curvature in smooth loops. Zbl 0734.53013Hofmann, Karl Heinrich; Strambach, Karl 1 1991 Topological and analytic loops. Zbl 0747.22004Hofmann, Karl Heinrich; Strambach, K. 34 1990 Weight and c. Zbl 0728.22006Hofmann, Karl Heinrich; Morris, Sidney A. 21 1990 Hyperplane subalgebras of real Lie algebras. Zbl 0718.17006Hofmann, Karl H. 8 1990 The analytical and topological theory of semigroups. Trends and developments. Based on a conference held Jan. 30-Feb. 4, 1989, in Oberwolfach, Germany. Zbl 0702.00013 5 1990 On the causal structure of homogeneous manifolds. Zbl 0739.53041Hilgert, Joachim; Hofmann, Karl H. 2 1990 Local semigroups in Lie groups and locally reachable sets. Zbl 0717.93032Hofmann, Karl Heinrich; Lawson, Jimmie D. 1 1990 Lie groups, convex cones, and semigroups. Zbl 0701.22001Hilgert, Joachim; Hofmann, Karl Heinrich; Lawson, Jimmie D. 99 1989 Compactly embedded Cartan algebras and invariant cones in Lie algebras. Zbl 0685.22004Hilgert, Joachim; Hofmann, Karl Heinrich 6 1989 ...and 113 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,703 Authors 93 Hofmann, Karl Heinrich 35 Dikranjan, Dikran N. 35 Lawson, Jimmie Don 32 Neeb, Karl-Hermann 31 Erné, Marcel 27 Morris, Sidney A. 25 Shi, Fu-Gui 24 Li, Qingguo 22 Mislove, Michael W. 22 Xu, Xiaoquan 21 Hilgert, Joachim 19 Kubiak, Tomasz 19 Ruppert, Wolfgang A. F. 19 Xi, Xiaoyong 18 Zhang, Dexue 18 Zhao, Dongsheng 15 Banakh, Taras Onufrievich 15 Mukherjea, Arunava 15 Russo, Francesco Giuseppe 14 Jäger, Gunther 14 Keimel, Klaus 14 Shakhmatov, Dmitri B. 14 Strambach, Karl 14 Zhao, Bin 13 Brown, Lawrence Michael 13 Figula, Ágota 13 Pultr, Aleš 13 Tkachenko, Mikhail Gelievich 12 Luo, Maokang 12 Shtern, Aleksandr Isaakovich 12 Stralka, Albert R. 11 Tserpes, Nicolas A. 10 Bezhanishvili, Guram 10 Comfort, William Wistar 10 Hofmann, Dirk 10 Höhle, Ulrich 10 Hötzel Escardó, Martín 10 Kopperman, Ralph David 10 Liu, Yingming 10 Solovyov, Sergey A. 9 Davey, Brian A. 9 Goubault-Larrecq, Jean 9 Hernández, Salvador 9 Junghenn, Hugo D. 9 Kudri, Soraya R. T. 9 Mostert, Paul S. 9 Paseka, Jan 9 Smith, Jonathan Dallas Hayden 9 Šostak, Alexander P. 9 Yildiz, Filiz 8 Brown, Dennison R. 8 Edalat, Abbas 8 Friedberg, Michael 8 Georgiou, Dimitrios N. 8 Gierz, Gerhard 8 Guo, Lankun 8 Gutiérrez García, Javier 8 Harding, John 8 Kou, Hui 8 Li, Shenggang 8 Priestley, Hilary A. 8 Warner, Mary Wynne 7 Banaschewski, Bernhard 7 Beltiţă, Daniel 7 Ertürk, Rıza 7 Giordano Bruno, Anna 7 Gutik, Oleg Volodymyrovych 7 Hamrouni, Hatem 7 Hildebrant, John A. 7 Hunter, Robert P. 7 Jung, Achim 7 Kramer, Linus 7 Romanowska, Anna B. 7 San Martin, Luiz Antonio Barrera 7 Somerset, Douglas W. B. 7 Willis, George A. 6 Ahsanullah, T. M. G. 6 Archbold, Robert J. 6 Berglund, John F. 6 Dauns, John 6 Fang, Jinming 6 Ferrer, Maria Vicenta 6 Hazod, Wilfried 6 Hoffmann, Rudolf- Eberhard 6 Isbell, John Rolfe 6 Kadri, Bilel 6 Kaniuth, Eberhard 6 Künzi, Hans-Peter A. 6 Leiderman, Arkady G. 6 Liang, Jihua 6 Milnes, Paul 6 Mynard, Frédéric 6 Niefield, Susan B. 6 Picado, Jorge 6 Plotkin, Gordon D. 6 Repovš, Dušan D. 6 Ronse, Christian 6 Salzmann, Helmut R. 6 Shen, Chong 6 Stepp, James W. ...and 1,603 more Authors all top 5 Cited in 316 Serials 218 Semigroup Forum 176 Topology and its Applications 146 Fuzzy Sets and Systems 71 Transactions of the American Mathematical Society 63 Proceedings of the American Mathematical Society 61 Theoretical Computer Science 55 Mathematische Zeitschrift 51 Algebra Universalis 49 Journal of Pure and Applied Algebra 39 Archiv der Mathematik 35 Journal of Algebra 34 MSCS. 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English Series 8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 8 Annales de l’Institut Fourier 8 Information Sciences 8 Journal of Soviet Mathematics 8 Mathematische Nachrichten 8 Studia Logica 8 Filomat 8 Axioms 8 Topological Algebra and its Applications 7 Rocky Mountain Journal of Mathematics 7 International Journal of Mathematics and Mathematical Sciences 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Linear Algebra and its Applications 7 Indagationes Mathematicae. 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Mathematical Sciences 5 Topology Proceedings 5 Open Mathematics 4 Communications in Mathematical Physics 4 International Journal of Theoretical Physics 4 Mathematical Notes 4 Algebra and Logic 4 Compositio Mathematica 4 Functional Analysis and its Applications 4 Inventiones Mathematicae 4 Mathematical Systems Theory 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Ergodic Theory and Dynamical Systems 4 International Journal of Mathematics 4 Archive for Mathematical Logic 4 Journal of Mathematical Imaging and Vision 4 Abstract and Applied Analysis 4 Positivity 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Cahiers de Topologie et Géométrie Différentielle Catégoriques 4 Journal of Intelligent and Fuzzy Systems 4 Matematický Časopis, Slovenskej Akadémie Vied 3 Computers & Mathematics with Applications 3 Indian Journal of Pure & Applied Mathematics 3 Information Processing Letters 3 Journal d’Analyse Mathématique 3 Acta Mathematica 3 Demonstratio Mathematica ...and 216 more Serials all top 5 Cited in 57 Fields 716 General topology (54-XX) 639 Topological groups, Lie groups (22-XX) 600 Order, lattices, ordered algebraic structures (06-XX) 272 Category theory; homological algebra (18-XX) 246 Group theory and generalizations (20-XX) 219 Mathematical logic and foundations (03-XX) 196 Computer science (68-XX) 157 Functional analysis (46-XX) 126 Abstract harmonic analysis (43-XX) 78 Associative rings and algebras (16-XX) 78 Nonassociative rings and algebras (17-XX) 67 General algebraic systems (08-XX) 59 Manifolds and cell complexes (57-XX) 56 Probability theory and stochastic processes (60-XX) 54 Dynamical systems and ergodic theory (37-XX) 54 Differential geometry (53-XX) 50 Operator theory (47-XX) 45 Algebraic topology (55-XX) 35 Measure and integration (28-XX) 31 Geometry (51-XX) 31 Systems theory; control (93-XX) 25 Quantum theory (81-XX) 24 Convex and discrete geometry (52-XX) 23 Commutative algebra (13-XX) 22 Combinatorics (05-XX) 22 Global analysis, analysis on manifolds (58-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 16 History and biography (01-XX) 16 Number theory (11-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Algebraic geometry (14-XX) 12 Real functions (26-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 \(K\)-theory (19-XX) 7 Field theory and polynomials (12-XX) 7 Functions of a complex variable (30-XX) 7 Approximations and expansions (41-XX) 7 Relativity and gravitational theory (83-XX) 7 Operations research, mathematical programming (90-XX) 6 Partial differential equations (35-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Statistics (62-XX) 5 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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