Edit Profile (opens in new tab) Chapman, Thomas Ashland Co-Author Distance Author ID: chapman.t-a Published as: Chapman, T. A.; Chapman, T. External Links: MGP Documents Indexed: 62 Publications since 1962, including 5 Books 1 Contribution as Editor Co-Authors: 5 Co-Authors with 7 Joint Publications 89 Co-Co-Authors Co-Authors 54 single-authored 3 Ferry, Steven C. 2 Anderson, Richard Davis 1 Gould, Henry Wadsworth 1 Schori, Richard M. 1 Siebenmann, Laurence C. all top 5 Serials 9 Transactions of the American Mathematical Society 5 Pacific Journal of Mathematics 5 Bulletin of the American Mathematical Society 4 General Topology and its Applications 3 Compositio Mathematica 3 Fundamenta Mathematicae 2 American Mathematical Monthly 2 American Journal of Mathematics 2 Canadian Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Topology 2 Topology and its Applications 2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 Acta Mathematica 1 Indiana University Mathematics Journal 1 Memoirs of the American Mathematical Society 1 Topology Proceedings 1 Lecture Notes in Mathematics 1 Regional Conference Series in Mathematics all top 5 Fields 48 Manifolds and cell complexes (57-XX) 28 Algebraic topology (55-XX) 27 Global analysis, analysis on manifolds (58-XX) 16 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 57 Publications have been cited 582 times in 346 Documents Cited by ▼ Year ▼ Lectures on Hilbert cube manifolds. Expository lectures from the CBMS Regional Conference held at Guilford College, October 11-15, 1975. Zbl 0347.57005 Chapman, T. A. 66 1976 Topological invariance of Whitehead torsion. Zbl 0358.57004 Chapman, T. A. 44 1974 Homotopic homeomorphisms of Hilbert cube manifolds. Zbl 0317.57009 Chapman, T. A. 42 1975 Dense sigma-compact subsets of infinite-dimensional manifolds. Zbl 0208.51903 Chapman, T. A. 37 1971 Approximating homotopy equivalences by homeomorphisms. Zbl 0426.57004 Chapman, T. A.; Ferry, Steve 35 1979 On some applications of infinite-dimensional manifolds to the theory of shape. Zbl 0262.55016 Chapman, T. A. 35 1972 Lectures on Hilbert cube manifolds. (Lektsii o Q-mnogoobraziyakh). Transl. from the English. Zbl 0528.57002 Chapman, T. A. 32 1981 Finding a boundary for a Hilbert cube manifold. Zbl 0361.57008 Chapman, T. A.; Siebenmann, L. C. 30 1977 Compact Hilbert cube manifolds and the invariance of Whitehead torsion. Zbl 0251.57004 Chapman, T. A. 18 1973 Approximation results in topological manifolds. Zbl 0478.57009 Chapman, T. A. 17 1981 Approximation results in Hilbert cube manifolds. Zbl 0464.57009 Chapman, T. A. 14 1980 Controlled simple homotopy theory and applications. Zbl 0548.57001 Chapman, T. A. 14 1983 On the structure of Hilbert cube manifolds. Zbl 0246.57005 Chapman, T. A. 14 1972 Extending homeomorphisms to Hilbert cube manifolds. Zbl 0227.57004 Anderson, R. D.; Chapman, T. A. 13 1971 Homotopy conditions which detect simple homotopy equivalences. Zbl 0412.57015 Chapman, T. A. 12 1979 Hurewicz fiber maps with ANR fibers. Zbl 0348.55008 Chapman, T. A.; Ferry, Steve 12 1977 Shapes of finite-dimensional compacta. Zbl 0222.55019 Chapman, T. A. 12 1972 Simple homotopy theory for ANR’s. Zbl 0376.57010 Chapman, T. A. 11 1977 Hilbert cube manifolds. Zbl 0205.53601 Chapman, T. A. 8 1970 Cell-like mappings of Hilbert cube manifolds: solution of a handle problem. Zbl 0308.58002 Chapman, T. A. 7 1975 Deficiency in infinite-dimensional manifolds. Zbl 0228.57008 Chapman, T. A. 7 1971 Homeomorphisms of Hilbert cube manifolds. Zbl 0288.57002 Chapman, T. A. 6 1973 Cell-like mappings of Hilbert cube manifolds: applications to simple homotopy theory. Zbl 0289.58003 Chapman, T. A. 6 1974 A further note on closure and interior operators. Zbl 0113.37503 Chapman, T. 6 1962 Four classes of separable metric infinite-dimensional manifolds. Zbl 0191.21902 Chapman, T. A. 6 1970 Infinite deficiency in Frechet manifolds. Zbl 0194.55601 Chapman, T. A. 6 1970 Constructing approximate fibrations. Zbl 0526.55019 Chapman, T. A.; Ferry, Steve 6 1983 On homeomorphisms of infinite dimensional bundles. III. Zbl 0288.58003 Chapman, T. A.; Wong, R. Y. T. 5 1974 Invariance of torsion and the Borsuk conjecture. Zbl 0539.57009 Chapman, T. A. 5 1980 Approximating maps into fiber bundles by homeomorphisms. Zbl 0447.57010 Chapman, T. A. 4 1980 Concordances of Hilbert cube manifolds and tubular neighborhoods of finite-dimensional manifolds. Zbl 0465.57003 Chapman, T. A. 4 1979 On homeomorphisms of infinite dimensional bundles. II. Zbl 0288.58002 Chapman, T. A.; Wong, R. Y. T. 3 1974 Concordances of Hilbert cube manifolds. Zbl 0332.57003 Chapman, T. A. 3 1976 Piecewise linear fibrations. Zbl 0654.57011 Chapman, T. A. 3 1987 Problems in the topology of infinite-dimensional spaces and manifolds. Zbl 0207.54203 3 1971 Controlled boundary and h-cobordism theorems. Zbl 0565.57010 Chapman, T. A. 3 1983 The space of retractions of a compact Hilbert cube manifold is an ANR. Zbl 0413.54013 Chapman, T. A. 2 1978 Proper fibrations with Hilbert cube manifold fibers. Zbl 0464.57010 Chapman, T. A. 2 1981 Proper fibrations with n-manifold fibers. Zbl 0472.55011 Chapman, T. A. 2 1981 Surgery and handle straightening in Hilbert cube manifolds. Zbl 0267.57006 Chapman, T. A. 2 1973 Homotopic homeomorphisms of infinite-dimensional manifolds. Zbl 0278.58003 Chapman, T. A. 2 1973 Locally-trivial bundles and microbundles with infinite-dimensional fibers. Zbl 0289.55015 Chapman, T. A. 2 1973 Concordances of noncompact Hilbert cube manifolds. Zbl 0336.57001 Chapman, T. A. 2 1976 Characterizing shapes of compacta. Zbl 0256.55013 Chapman, T. A. 2 1972 Controlled concordances. Zbl 0583.57011 Chapman, T. A. 2 1984 Some results on shapes and fundamental absolute retracts. Zbl 0227.54016 Chapman, T. A. 2 1972 Canonical extensions of homeomorphisms. Zbl 0238.57003 Chapman, T. A. 2 1972 Shapes of some decomposition spaces. Zbl 0239.55012 Chapman, T. A. 2 1972 Locally homotopically unknotted embeddings of manifolds in codimension two are locally flat. Zbl 0425.57003 Chapman, T. A. 1 1979 Contractible Hilbert cube manifolds. Zbl 0259.58004 Chapman, T. A. 1 1972 On the theory of Hilbert cube manifolds. Zbl 0286.57003 Chapman, T. A. 1 1974 Locally flat embeddings of Hilbert cubes are flat. Zbl 0299.58003 Chapman, T. A. 1 1975 Simple homotopy theory for compact Hilbert cube manifold factors. Zbl 0322.57005 Chapman, T. A. 1 1974 Some curious limits involving definite integrals. Zbl 0108.27004 Gould, H. W.; Chapman, T. A. 1 1962 An extension of the Kuratowski closure and complementation problem. Zbl 0118.17602 Chapman, T. A. 1 1962 Deficiency in infinite-dimensional manifolds. Zbl 0212.28901 Chapman, T. A. 1 1970 A general approximation theorem for Hilbert cube manifolds. Zbl 0529.57009 Chapman, T. A. 1 1983 Piecewise linear fibrations. Zbl 0654.57011 Chapman, T. A. 3 1987 Controlled concordances. Zbl 0583.57011 Chapman, T. A. 2 1984 Controlled simple homotopy theory and applications. Zbl 0548.57001 Chapman, T. A. 14 1983 Constructing approximate fibrations. Zbl 0526.55019 Chapman, T. A.; Ferry, Steve 6 1983 Controlled boundary and h-cobordism theorems. Zbl 0565.57010 Chapman, T. A. 3 1983 A general approximation theorem for Hilbert cube manifolds. Zbl 0529.57009 Chapman, T. A. 1 1983 Lectures on Hilbert cube manifolds. (Lektsii o Q-mnogoobraziyakh). Transl. from the English. Zbl 0528.57002 Chapman, T. A. 32 1981 Approximation results in topological manifolds. Zbl 0478.57009 Chapman, T. A. 17 1981 Proper fibrations with Hilbert cube manifold fibers. Zbl 0464.57010 Chapman, T. A. 2 1981 Proper fibrations with n-manifold fibers. Zbl 0472.55011 Chapman, T. A. 2 1981 Approximation results in Hilbert cube manifolds. Zbl 0464.57009 Chapman, T. A. 14 1980 Invariance of torsion and the Borsuk conjecture. Zbl 0539.57009 Chapman, T. A. 5 1980 Approximating maps into fiber bundles by homeomorphisms. Zbl 0447.57010 Chapman, T. A. 4 1980 Approximating homotopy equivalences by homeomorphisms. Zbl 0426.57004 Chapman, T. A.; Ferry, Steve 35 1979 Homotopy conditions which detect simple homotopy equivalences. Zbl 0412.57015 Chapman, T. A. 12 1979 Concordances of Hilbert cube manifolds and tubular neighborhoods of finite-dimensional manifolds. Zbl 0465.57003 Chapman, T. A. 4 1979 Locally homotopically unknotted embeddings of manifolds in codimension two are locally flat. Zbl 0425.57003 Chapman, T. A. 1 1979 The space of retractions of a compact Hilbert cube manifold is an ANR. Zbl 0413.54013 Chapman, T. A. 2 1978 Finding a boundary for a Hilbert cube manifold. Zbl 0361.57008 Chapman, T. A.; Siebenmann, L. C. 30 1977 Hurewicz fiber maps with ANR fibers. Zbl 0348.55008 Chapman, T. A.; Ferry, Steve 12 1977 Simple homotopy theory for ANR’s. Zbl 0376.57010 Chapman, T. A. 11 1977 Lectures on Hilbert cube manifolds. Expository lectures from the CBMS Regional Conference held at Guilford College, October 11-15, 1975. Zbl 0347.57005 Chapman, T. A. 66 1976 Concordances of Hilbert cube manifolds. Zbl 0332.57003 Chapman, T. A. 3 1976 Concordances of noncompact Hilbert cube manifolds. Zbl 0336.57001 Chapman, T. A. 2 1976 Homotopic homeomorphisms of Hilbert cube manifolds. Zbl 0317.57009 Chapman, T. A. 42 1975 Cell-like mappings of Hilbert cube manifolds: solution of a handle problem. Zbl 0308.58002 Chapman, T. A. 7 1975 Locally flat embeddings of Hilbert cubes are flat. Zbl 0299.58003 Chapman, T. A. 1 1975 Topological invariance of Whitehead torsion. Zbl 0358.57004 Chapman, T. A. 44 1974 Cell-like mappings of Hilbert cube manifolds: applications to simple homotopy theory. Zbl 0289.58003 Chapman, T. A. 6 1974 On homeomorphisms of infinite dimensional bundles. III. Zbl 0288.58003 Chapman, T. A.; Wong, R. Y. T. 5 1974 On homeomorphisms of infinite dimensional bundles. II. Zbl 0288.58002 Chapman, T. A.; Wong, R. Y. T. 3 1974 On the theory of Hilbert cube manifolds. Zbl 0286.57003 Chapman, T. A. 1 1974 Simple homotopy theory for compact Hilbert cube manifold factors. Zbl 0322.57005 Chapman, T. A. 1 1974 Compact Hilbert cube manifolds and the invariance of Whitehead torsion. Zbl 0251.57004 Chapman, T. A. 18 1973 Homeomorphisms of Hilbert cube manifolds. Zbl 0288.57002 Chapman, T. A. 6 1973 Surgery and handle straightening in Hilbert cube manifolds. Zbl 0267.57006 Chapman, T. A. 2 1973 Homotopic homeomorphisms of infinite-dimensional manifolds. Zbl 0278.58003 Chapman, T. A. 2 1973 Locally-trivial bundles and microbundles with infinite-dimensional fibers. Zbl 0289.55015 Chapman, T. A. 2 1973 On some applications of infinite-dimensional manifolds to the theory of shape. Zbl 0262.55016 Chapman, T. A. 35 1972 On the structure of Hilbert cube manifolds. Zbl 0246.57005 Chapman, T. A. 14 1972 Shapes of finite-dimensional compacta. Zbl 0222.55019 Chapman, T. A. 12 1972 Characterizing shapes of compacta. Zbl 0256.55013 Chapman, T. A. 2 1972 Some results on shapes and fundamental absolute retracts. Zbl 0227.54016 Chapman, T. A. 2 1972 Canonical extensions of homeomorphisms. Zbl 0238.57003 Chapman, T. A. 2 1972 Shapes of some decomposition spaces. Zbl 0239.55012 Chapman, T. A. 2 1972 Contractible Hilbert cube manifolds. Zbl 0259.58004 Chapman, T. A. 1 1972 Dense sigma-compact subsets of infinite-dimensional manifolds. Zbl 0208.51903 Chapman, T. A. 37 1971 Extending homeomorphisms to Hilbert cube manifolds. Zbl 0227.57004 Anderson, R. D.; Chapman, T. A. 13 1971 Deficiency in infinite-dimensional manifolds. Zbl 0228.57008 Chapman, T. A. 7 1971 Problems in the topology of infinite-dimensional spaces and manifolds. Zbl 0207.54203 3 1971 Hilbert cube manifolds. Zbl 0205.53601 Chapman, T. A. 8 1970 Four classes of separable metric infinite-dimensional manifolds. Zbl 0191.21902 Chapman, T. A. 6 1970 Infinite deficiency in Frechet manifolds. Zbl 0194.55601 Chapman, T. A. 6 1970 Deficiency in infinite-dimensional manifolds. Zbl 0212.28901 Chapman, T. A. 1 1970 A further note on closure and interior operators. Zbl 0113.37503 Chapman, T. 6 1962 Some curious limits involving definite integrals. Zbl 0108.27004 Gould, H. W.; Chapman, T. A. 1 1962 An extension of the Kuratowski closure and complementation problem. Zbl 0118.17602 Chapman, T. A. 1 1962 all cited Publications top 5 cited Publications all top 5 Cited by 275 Authors 20 Chapman, Thomas Ashland 16 Sakai, Katsuro 12 Ferry, Steven C. 11 Guilbault, Craig R. 10 van Mill, Jan 8 Farrell, F. Thomas 8 Geoghegan, Ross 8 Repovš, Dušan D. 7 Antonyan, Sergey A. 7 Wong, Raymond Y. T. 6 Chigogidze, Alex Ch. 6 Jones, Lowell Edwin 5 Banakh, Taras Onufrievich 5 Bryant, John Logan 5 Daverman, Robert J. 5 Hastings, Harold M. 5 Hughes, C. Bruce 4 Curtis, Douglas W. 4 Dijkstra, Jan J. 4 Dydak, Jerzy 4 Jonard-Pérez, Natalia 4 Lück, Wolfgang 4 Macías, Sergio 4 Martin, John Rowlay 4 Moron, Manuel Alonso 4 Quinn, Frank S. 4 Sozen, Yasar 4 Steinberger, Mark 4 Venema, Gerard A. 4 Walsh, John J. 4 West, James E. 4 Williams, Bruce 3 Anderson, Douglas Ross 3 Benard, Leo 3 Burghelea, Dan 3 Fedorchuk, Vitaly Vitalievich 3 Friedl, Stefan 3 Friedman, Greg 3 Grove, Karsten 3 Gu, Shijie 3 Henderson, James P. 3 Mio, Washington 3 Mogilski, Jerzy 3 Montejano Peimbert, Luis 3 Mrozik, Peter Alexander 3 Munkholm, Hans Jørgen 3 Niemiec, Piotr 3 Sher, Richard B. 3 Siebenmann, Laurence C. 3 Steimle, Wolfgang 3 Tinsley, Frederick C. 3 Vo Thanh Liem 3 Zarichnyi, Michael Mikhailovich 2 Anderson, Richard Davis 2 Ball, Billy Joe 2 Bartels, Arthur C. 2 Bazylevych, Lidiya 2 Ben Aribi, Fathi 2 Bestvina, Mladen 2 Bowers, Philip L. 2 Čerin, Zvonko Tomislav 2 Conway, Anthony 2 Cuchillo-Ibáñez, Eduardo 2 Curtis, Doug 2 Dobrowolski, Tadeusz 2 Edwards, David A. 2 Hughes, Bruce 2 Husch, Laurence S. 2 Juárez-Ordóñez, Saúl 2 Kawamura, Kazuhiro 2 Khan, Qayum 2 Koshino, Katsuhisa 2 Koyama, Akira 2 Moran, Molly A. 2 Nadler, Sam B. jun. 2 Pardon, John Vincent 2 Petersen, Peter V 2 Powell, Mark 2 Prassidis, Stratos 2 Rałowski, Robert 2 Ranicki, Andrew Alexander 2 Rassias, Themistocles Michael 2 Rolland, Jeffrey J. 2 Ruiz del Portal, Francisco Romero 2 Summerhill, R. Richard 2 Száz, Árpád 2 Weinberger, Shmuel 2 Weiss, Michael S. 2 Wu, Jyh-Yang 2 Yagasaki, Tatsuhiko 2 Yokoi, Katsuya 2 Zaitov, Adilbek Atakhanovich 2 Żeberski, Szymon 1 Albin, Pierre 1 Alzer, Horst 1 Amarasinghe, Ashwini K. 1 Ancel, Fredric D. 1 Artamonov, Dmitry V. 1 Ayupov, Shavkat Abdullaevich 1 Baars, Jan ...and 175 more Authors all top 5 Cited in 71 Serials 92 Topology and its Applications 37 Proceedings of the American Mathematical Society 36 Transactions of the American Mathematical Society 15 Compositio Mathematica 13 Bulletin of the American Mathematical Society 10 Mathematical Notes 8 Inventiones Mathematicae 7 Geometry & Topology 7 Algebraic & Geometric Topology 6 Geometriae Dedicata 6 Siberian Mathematical Journal 6 \(K\)-Theory 6 Journal of Mathematical Sciences (New York) 5 Bulletin of the American Mathematical Society. New Series 4 Advances in Mathematics 4 Osaka Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 Acta Mathematica 3 Michigan Mathematical Journal 3 Journal of the American Mathematical Society 3 Central European Journal of Mathematics 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Journal of Pure and Applied Algebra 2 Mathematica Slovaca 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Annales Mathématiques Blaise Pascal 2 Groups, Geometry, and Dynamics 2 Journal of Topology 2 Journal of Topology and Analysis 1 Bulletin of the Australian Mathematical Society 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of Engineering Mathematics 1 Rocky Mountain Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Journal of Geometry 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Semigroup Forum 1 Extracta Mathematicae 1 Forum Mathematicum 1 Science in China. Series A 1 Communications in Partial Differential Equations 1 Journal of Knot Theory and its Ramifications 1 Russian Mathematics 1 Topology Proceedings 1 Turkish Journal of Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Matematicheskie Trudy 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Journal of the Australian Mathematical Society 1 Bulletin de la Société Mathématique de France. 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Mémoires 1 Proceedings of the Steklov Institute of Mathematics 1 Axioms 1 Journal of Mathematics 1 EMS Surveys in Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques 1 Matematicheskie Zametki SVFU 1 AIMS Mathematics all top 5 Cited in 29 Fields 240 Manifolds and cell complexes (57-XX) 162 General topology (54-XX) 112 Algebraic topology (55-XX) 47 Global analysis, analysis on manifolds (58-XX) 19 Functional analysis (46-XX) 16 \(K\)-theory (19-XX) 16 Group theory and generalizations (20-XX) 12 Category theory; homological algebra (18-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Differential geometry (53-XX) 9 Convex and discrete geometry (52-XX) 5 Topological groups, Lie groups (22-XX) 3 Number theory (11-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year