Edit Profile (opens in new tab) Gierz, Gerhard Compute Distance To: Compute Author ID: gierz.gerhard Published as: Gierz, Gerhard; Gierz, G. Documents Indexed: 48 Publications since 1975, including 3 Books Co-Authors: 13 Co-Authors with 37 Joint Publications 413 Co-Co-Authors all top 5 Co-Authors 11 single-authored 17 Stralka, Albert R. 7 Keimel, Klaus 6 Lawson, Jimmie Don 6 Shekhtman, Boris 3 Faigle, Ulrich 2 Hofmann, Karl Heinrich 2 Mislove, Michael W. 2 Scott, Dana Stewart 1 Flösser, Hans-Otto 1 Hergert, Ferdinand B. 1 Poguntke, Werner 1 Romanowska, Anna B. 1 Schrader, Rainer all top 5 Serials 5 Houston Journal of Mathematics 5 Rocky Mountain Journal of Mathematics 3 Algebra Universalis 3 Pacific Journal of Mathematics 3 Proceedings of the American Mathematical Society 2 Discrete Mathematics 2 Journal of Pure and Applied Algebra 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Semigroup Forum 2 Topology and its Applications 1 Bulletin of the Australian Mathematical Society 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Journal of Approximation Theory 1 Mathematische Zeitschrift 1 SIAM Journal on Computing 1 SIAM Journal on Algebraic and Discrete Methods 1 Journal of the Australian Mathematical Society. Series A 1 Journal of Lie Theory 1 Encyclopedia of Mathematics and Its Applications 1 Lecture Notes in Mathematics all top 5 Fields 33 Order, lattices, ordered algebraic structures (06-XX) 16 General topology (54-XX) 9 Functional analysis (46-XX) 6 Approximations and expansions (41-XX) 5 Operator theory (47-XX) 3 Topological groups, Lie groups (22-XX) 2 Combinatorics (05-XX) 2 General algebraic systems (08-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 1,138 times in 1,015 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 Generalized continuous and hypercontinuous lattices. Zbl 0472.06014Gierz, G.; Lawson, J. D. 46 1981 Quasicontinuous posets. Zbl 0529.06002Gierz, G.; Lawson, J. D.; Stralka, A. 46 1983 Bundles of topological vector spaces and their duality. Zbl 0488.46060Gierz, Gerhard 24 1982 Minimizing setups for ordered sets: A linear algebraic approach. Zbl 0517.06004Gierz, Gerhard; Poguntke, Werner 16 1983 Duality for distributive bisemilattices. Zbl 0751.06008Gierz, Gerhard; Romanowska, Anna 12 1991 Algorithmic approaches to setup minimization. Zbl 0575.68046Faigle, Ulrich; Gierz, Gerhard; Schrader, Rainer 9 1985 A lemma on primes appearing in algebra and analysis. Zbl 0359.06015Gierz, Gerhard; Keimel, Klaus 7 1977 Representation of spaces of compact operators and applications to the approximation property. Zbl 0391.46059Gierz, Gerhard 4 1978 A construction for strongly greedy ordered sets. Zbl 0541.90077Faigle, Ulrich; Gierz, Gerhard 4 1984 A characterization of full sublattices of finite dimensional Euclidean space. Zbl 0767.54028Gierz, Gerhard; Stralka, Albert 2 1992 The Zariski topology for distributive lattices. Zbl 0622.06005Gierz, Gerhard; Stralka, Albert 2 1987 Continuous ideal completions and compactifications. Zbl 0464.06004Gierz, Gerhard; Keimel, Klaus 2 1981 Level sets in finite distributive lattices of breadth 3. Zbl 0810.06008Gierz, Gerhard 2 1994 Connected, full-valued distributive lattices of finite breadth. Zbl 0734.06009Gierz, Gerhard; Stralka, Albert 2 1991 The injective hull of a distributive lattice and congruence extension. Zbl 0536.06011Gierz, Gerhard; Stralka, Albert 2 1984 The bandwidth problem for distributive lattices of breadth 3. Zbl 0726.06006Gierz, Gerhard; Hergert, Ferdinand 2 1991 Sublattices of Euclidean spaces. Zbl 0626.06014Gierz, Gerhard; Stralka, Albert R. 2 1987 Intrinsic topologies on semilattices of finite breadth. Zbl 0553.06004Gierz, G.; Lawson, J. D.; Stralka, A. R. 2 1985 Essential completions of distributive lattices. Zbl 0614.06008Gierz, Gerhard; Stralka, Albert R. 1 1985 Colimits of continuous lattices. Zbl 0469.06004Gierz, Gerhard 1 1982 Quotients of full sublattices of Euclidean space. Zbl 0983.06006Gierz, Gerhard; Stralka, Albert R. 1 2000 Homogeneous sublattices of Euclidean space. Zbl 0836.54025Gierz, Gerhard; Stralka, Albert R. 1 1995 On duality in rational approximation. Zbl 0729.41017Gierz, Gerhard; Shekhtman, Boris 1 1989 The bandwidth of planar distributive lattices. Zbl 0646.06010Faigle, Ulrich; Gierz, Gerhard 1 1987 Structure spaces and the center of vector lattices. Zbl 0393.46009Flösser, H. O.; Gierz, G.; Keimel, K. 1 1978 Topologische Darstellung von Verbänden. Zbl 0319.06004Gierz, Gerhard; Keimel, Klaus 1 1976 Modular lattices on the 3-cell are distributive. Zbl 0668.06004Gierz, Gerhard; Stralka, Albert R. 1 1989 Injective Banach lattices with strong order units. Zbl 0488.46018Gierz, Gerhard 1 1984 A duality principle for rational approximation. Zbl 0571.41009Gierz, Gerhard; Shekhtman, Boris 1 1986 Distributive lattices with sufficiently many chain intervals. Zbl 0563.06009Gierz, Gerhard; Stralka, Albert 1 1985 Continuous lattices and domains. Zbl 1088.06001Gierz, Gerhard; Hofmann, Karl; Keimel, Klaus; Lawson, Jimmie; Mislove, Michael; Scott, Dana S. 332 2003 Quotients of full sublattices of Euclidean space. Zbl 0983.06006Gierz, Gerhard; Stralka, Albert R. 1 2000 Homogeneous sublattices of Euclidean space. Zbl 0836.54025Gierz, Gerhard; Stralka, Albert R. 1 1995 Level sets in finite distributive lattices of breadth 3. Zbl 0810.06008Gierz, Gerhard 2 1994 A characterization of full sublattices of finite dimensional Euclidean space. Zbl 0767.54028Gierz, Gerhard; Stralka, Albert 2 1992 Duality for distributive bisemilattices. Zbl 0751.06008Gierz, Gerhard; Romanowska, Anna 12 1991 Connected, full-valued distributive lattices of finite breadth. Zbl 0734.06009Gierz, Gerhard; Stralka, Albert 2 1991 The bandwidth problem for distributive lattices of breadth 3. Zbl 0726.06006Gierz, Gerhard; Hergert, Ferdinand 2 1991 On duality in rational approximation. Zbl 0729.41017Gierz, Gerhard; Shekhtman, Boris 1 1989 Modular lattices on the 3-cell are distributive. Zbl 0668.06004Gierz, Gerhard; Stralka, Albert R. 1 1989 The Zariski topology for distributive lattices. Zbl 0622.06005Gierz, Gerhard; Stralka, Albert 2 1987 Sublattices of Euclidean spaces. Zbl 0626.06014Gierz, Gerhard; Stralka, Albert R. 2 1987 The bandwidth of planar distributive lattices. Zbl 0646.06010Faigle, Ulrich; Gierz, Gerhard 1 1987 A duality principle for rational approximation. Zbl 0571.41009Gierz, Gerhard; Shekhtman, Boris 1 1986 Algorithmic approaches to setup minimization. Zbl 0575.68046Faigle, Ulrich; Gierz, Gerhard; Schrader, Rainer 9 1985 Intrinsic topologies on semilattices of finite breadth. Zbl 0553.06004Gierz, G.; Lawson, J. D.; Stralka, A. R. 2 1985 Essential completions of distributive lattices. Zbl 0614.06008Gierz, Gerhard; Stralka, Albert R. 1 1985 Distributive lattices with sufficiently many chain intervals. Zbl 0563.06009Gierz, Gerhard; Stralka, Albert 1 1985 A construction for strongly greedy ordered sets. Zbl 0541.90077Faigle, Ulrich; Gierz, Gerhard 4 1984 The injective hull of a distributive lattice and congruence extension. Zbl 0536.06011Gierz, Gerhard; Stralka, Albert 2 1984 Injective Banach lattices with strong order units. Zbl 0488.46018Gierz, Gerhard 1 1984 Quasicontinuous posets. Zbl 0529.06002Gierz, G.; Lawson, J. D.; Stralka, A. 46 1983 Minimizing setups for ordered sets: A linear algebraic approach. Zbl 0517.06004Gierz, Gerhard; Poguntke, Werner 16 1983 Bundles of topological vector spaces and their duality. Zbl 0488.46060Gierz, Gerhard 24 1982 Colimits of continuous lattices. Zbl 0469.06004Gierz, Gerhard 1 1982 Generalized continuous and hypercontinuous lattices. Zbl 0472.06014Gierz, G.; Lawson, J. D. 46 1981 Continuous ideal completions and compactifications. Zbl 0464.06004Gierz, Gerhard; Keimel, Klaus 2 1981 A compendium of continuous lattices. Zbl 0452.06001Gierz, G.; Hofmann, Karl Heinrich; Keimel, K.; Lawson, J. D.; Mislove, M.; Scott, D. S. 608 1980 Representation of spaces of compact operators and applications to the approximation property. Zbl 0391.46059Gierz, Gerhard 4 1978 Structure spaces and the center of vector lattices. Zbl 0393.46009Flösser, H. O.; Gierz, G.; Keimel, K. 1 1978 A lemma on primes appearing in algebra and analysis. Zbl 0359.06015Gierz, Gerhard; Keimel, Klaus 7 1977 Topologische Darstellung von Verbänden. Zbl 0319.06004Gierz, Gerhard; Keimel, Klaus 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 857 Authors 31 Xu, Xiaoquan 29 Erné, Marcel 27 Li, Qingguo 25 Shi, Fu-Gui 21 Xi, Xiaoyong 20 Zhao, Dongsheng 19 Kubiak, Tomasz 18 Zhang, Dexue 17 Lawson, Jimmie Don 14 Jäger, Gunther 13 Brown, Lawrence Michael 13 Zhao, Bin 12 Luo, Maokang 11 Gierz, Gerhard 11 Zhang, Wenfeng 10 Hofmann, Dirk 10 Keimel, Klaus 10 Kou, Hui 10 Liu, Yingming 10 Solovyov, Sergey A. 9 Bezhanishvili, Guram 9 Goubault-Larrecq, Jean 9 Hofmann, Karl Heinrich 9 Höhle, Ulrich 9 Jung, Achim 9 Kopperman, Ralph David 9 Kudri, Soraya R. T. 9 Paseka, Jan 9 Šostak, Alexander P. 9 Stralka, Albert R. 9 Xu, Luoshan 9 Yildiz, Filiz 8 Edalat, Abbas 8 Georgiou, Dimitrios N. 8 Guo, Lankun 8 Gutiérrez García, Javier 8 Harding, John 8 Hötzel Escardó, Martín 8 Li, Shenggang 8 Mislove, Michael W. 8 Priestley, Hilary A. 8 Pultr, Aleš 8 Warner, Mary Wynne 7 Ertürk, Rıza 7 Shen, Chong 6 Fang, Jinming 6 Heckmann, Reinhold 6 Liang, Jihua 6 Plotkin, Gordon D. 6 Romanowska, Anna B. 6 Ronse, Christian 6 Valero, Oscar 5 Ahsanullah, T. M. G. 5 Aygün, Halis 5 Bonzio, Stefano 5 Guido, Cosimo 5 Ho, Weng Kin 5 Iliadis, Stavros D. 5 Jia, Xiaodong 5 Künzi, Hans-Peter A. 5 Li, Sanjiang 5 Morsi, Nehad Nashaat 5 Papadopoulos, Kyriakos 5 Romaguera Bonilla, Salvador 5 Selivanov, Viktor L’vovich 5 Spreen, Dieter 5 Wang, Guojun 5 Yue, Yueli 5 Zhang, Zhongxi 5 Zheng, Chongyou 4 Alessi, Fabio 4 Antoine, Ramon 4 Bedregal, Benjamín René Callejas 4 Davey, Brian A. 4 de Prada Vicente, María Angeles 4 Gastin, Paul 4 Habib, Michel A. 4 He, Qingyu 4 Lu, Jing 4 Luo, Shuzhen 4 Mardones-Pérez, Iraide 4 Mohebi, Hossein 4 Mynard, Frédéric 4 Nykyforchyn, Oleh R. 4 Papadopoulos, Basil K. 4 Perera, Francesc 4 Ranzato, Francesco 4 Rodabaugh, Stephen Ernest 4 Schwidefsky, Marina V. 4 Smith, Jonathan Dallas Hayden 4 Sünderhauf, Philipp 4 Thiel, Hannes 4 Wehrung, Friedrich 4 Yang, Jinbo 4 Yang, Zhongqiang 4 Zhao, Xiaodong 3 Abbes, Samy 3 Abdelwanis, Ahmed Yunis 3 Adaricheva, Kira Vladislavovna 3 Banakh, Taras Onufrievich ...and 757 more Authors all top 5 Cited in 198 Serials 139 Fuzzy Sets and Systems 93 Topology and its Applications 64 Theoretical Computer Science 45 Order 43 Semigroup Forum 35 Algebra Universalis 34 MSCS. Mathematical Structures in Computer Science 30 Applied Categorical Structures 23 Journal of Pure and Applied Algebra 14 Journal of Mathematical Analysis and Applications 13 Soft Computing 11 Iranian Journal of Fuzzy Systems 9 Quaestiones Mathematicae 9 Studia Logica 9 Logical Methods in Computer Science 8 Cahiers de Topologie et Géométrie Différentielle Catégoriques 8 Information Sciences 8 The Journal of Symbolic Logic 8 Proceedings of the American Mathematical Society 8 Information and Computation 8 Acta Mathematica Sinica. English Series 7 Transactions of the American Mathematical Society 6 Discrete Mathematics 6 International Journal of Mathematics and Mathematical Sciences 6 Mathematische Zeitschrift 6 Annals of Pure and Applied Logic 6 Mathematical Logic Quarterly (MLQ) 6 Filomat 5 Rocky Mountain Journal of Mathematics 5 Archiv der Mathematik 5 Abstract and Applied Analysis 5 Applied General Topology 4 Bulletin of the Australian Mathematical Society 4 Advances in Mathematics 4 Mathematica Slovaca 4 Archive for Mathematical Logic 4 Journal of Mathematical Imaging and Vision 4 Topology Proceedings 4 Positivity 4 Cahiers de Topologie et Géométrie Différentielle Catégoriques 4 Journal of Intelligent and Fuzzy Systems 4 Eurasian Mathematical Journal 4 Open Mathematics 3 Communications in Algebra 3 Computers & Mathematics with Applications 3 Discrete Applied Mathematics 3 Information Processing Letters 3 Israel Journal of Mathematics 3 Demonstratio Mathematica 3 Journal of Algebra 3 Journal of Soviet Mathematics 3 Siberian Mathematical Journal 3 Chinese Annals of Mathematics. Series B 3 Acta Mathematica Hungarica 3 International Journal of Algebra and Computation 3 International Journal of Computer Mathematics 3 Applicable Algebra in Engineering, Communication and Computing 3 Journal of Applied Non-Classical Logics 3 Computational and Applied Mathematics 3 Journal of the Egyptian Mathematical Society 3 The Bulletin of Symbolic Logic 3 Theory and Applications of Categories 3 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 3 Fuzzy Information and Engineering 3 Categories and General Algebraic Structures with Applications 2 Houston Journal of Mathematics 2 International Journal of Theoretical Physics 2 Algebra and Logic 2 Czechoslovak Mathematical Journal 2 Kybernetika 2 Matematički Vesnik 2 Mathematische Nachrichten 2 Numerical Functional Analysis and Optimization 2 Mathematical Social Sciences 2 Statistics & Probability Letters 2 Optimization 2 Journal of Automated Reasoning 2 International Journal of Approximate Reasoning 2 Journal of Theoretical Probability 2 Science in China. Series A 2 Linear Algebra and its Applications 2 Chinese Science Bulletin 2 Journal of Mathematical Sciences (New York) 2 Constraints 2 Lobachevskii Journal of Mathematics 2 The Journal of Logic and Algebraic Programming 2 Journal of the Australian Mathematical Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Applied Logic 2 Foundations of Physics 2 Journal of Noncommutative Geometry 2 European Journal of Pure and Applied Mathematics 2 Acta Universitatis Sapientiae. Mathematica 2 The Review of Symbolic Logic 2 Formalized Mathematics 2 Carpathian Mathematical Publications 2 Journal of Mathematics 2 Sahand Communications in Mathematical Analysis 1 Modern Physics Letters A 1 Artificial Intelligence ...and 98 more Serials all top 5 Cited in 46 Fields 540 Order, lattices, ordered algebraic structures (06-XX) 465 General topology (54-XX) 197 Computer science (68-XX) 175 Category theory; homological algebra (18-XX) 169 Mathematical logic and foundations (03-XX) 58 Functional analysis (46-XX) 39 General algebraic systems (08-XX) 36 Topological groups, Lie groups (22-XX) 22 Group theory and generalizations (20-XX) 18 Combinatorics (05-XX) 17 Probability theory and stochastic processes (60-XX) 15 Measure and integration (28-XX) 14 Operator theory (47-XX) 14 Algebraic topology (55-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Associative rings and algebras (16-XX) 11 Convex and discrete geometry (52-XX) 10 Real functions (26-XX) 9 Operations research, mathematical programming (90-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Manifolds and cell complexes (57-XX) 7 Approximations and expansions (41-XX) 7 Quantum theory (81-XX) 6 Commutative algebra (13-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 \(K\)-theory (19-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 History and biography (01-XX) 5 Statistics (62-XX) 5 Numerical analysis (65-XX) 4 Number theory (11-XX) 4 Abstract harmonic analysis (43-XX) 4 Differential geometry (53-XX) 4 Relativity and gravitational theory (83-XX) 3 Geometry (51-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year