Edit Profile Chapman, Thomas Ashland Compute Distance To: Compute Author ID: chapman.t-a Published as: Chapman, T.; Chapman, T. A. External Links: MGP · Wikidata Documents Indexed: 63 Publications since 1962, including 6 Books all top 5 Co-Authors 54 single-authored 3 Ferry, Steven C. 2 Anderson, Richard D. 2 Wong, Raymund Y. T. 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 56 Publications have been cited 567 times in 320 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 0347.57005Chapman, T. A. 77 1976 Homotopic homeomorphisms of Hilbert cube manifolds. Zbl 0317.57009Chapman, T. A. 47 1975 Dense sigma-compact subsets of infinite-dimensional manifolds. Zbl 0208.51903Chapman, T. A. 37 1971 On some applications of infinite-dimensional manifolds to the theory of shape. Zbl 0262.55016Chapman, T. A. 34 1972 Topological invariance of Whitehead torsion. Zbl 0358.57004Chapman, T. A. 32 1974 Lectures on Hilbert cube manifolds. (Lektsii o Q-mnogoobraziyakh). Transl. from the English. Zbl 0528.57002Chapman, T. A. 31 1981 Approximating homotopy equivalences by homeomorphisms. Zbl 0426.57004Chapman, T. A.; Ferry, Steve 31 1979 Finding a boundary for a Hilbert cube manifold. Zbl 0361.57008Chapman, T. A.; Siebenmann, L. C. 28 1977 Approximation results in topological manifolds. Zbl 0478.57009Chapman, T. A. 17 1981 Compact Hilbert cube manifolds and the invariance of Whitehead torsion. Zbl 0251.57004Chapman, T. A. 16 1973 Controlled simple homotopy theory and applications. Zbl 0548.57001Chapman, T. A. 14 1983 Approximation results in Hilbert cube manifolds. Zbl 0464.57009Chapman, T. A. 14 1980 On the structure of Hilbert cube manifolds. Zbl 0246.57005Chapman, T. A. 13 1972 Extending homeomorphisms to Hilbert cube manifolds. Zbl 0227.57004Anderson, R. D.; Chapman, T. A. 13 1971 Homotopy conditions which detect simple homotopy equivalences. Zbl 0412.57015Chapman, T. A. 12 1979 Hurewicz fiber maps with ANR fibers. Zbl 0348.55008Chapman, T. A.; Ferry, Steve 12 1977 Shapes of finite-dimensional compacta. Zbl 0222.55019Chapman, T. A. 11 1972 Simple homotopy theory for ANR’s. Zbl 0376.57010Chapman, T. A. 9 1977 Four classes of separable metric infinite-dimensional manifolds. Zbl 0191.21902Chapman, T. A. 8 1970 Constructing approximate fibrations. Zbl 0526.55019Chapman, T. A.; Ferry, Steve 7 1983 Cell-like mappings of Hilbert cube manifolds: solution of a handle problem. Zbl 0308.58002Chapman, T. A. 7 1975 Deficiency in infinite-dimensional manifolds. Zbl 0228.57008Chapman, T. A. 7 1971 Hilbert cube manifolds. Zbl 0205.53601Chapman, T. A. 7 1970 Cell-like mappings of Hilbert cube manifolds: applications to simple homotopy theory. Zbl 0289.58003Chapman, T. A. 6 1974 Infinite deficiency in Frechet manifolds. Zbl 0194.55601Chapman, T. A. 6 1970 On homeomorphisms of infinite dimensional bundles. III. Zbl 0288.58003Chapman, T. A.; Wong, R. Y. T. 5 1974 Homeomorphisms of Hilbert cube manifolds. Zbl 0288.57002Chapman, T. A. 5 1973 Invariance of torsion and the Borsuk conjecture. Zbl 0539.57009Chapman, T. A. 4 1980 Approximating maps into fiber bundles by homeomorphisms. Zbl 0447.57010Chapman, T. A. 4 1980 Concordances of Hilbert cube manifolds and tubular neighborhoods of finite-dimensional manifolds. Zbl 0465.57003Chapman, T. A. 4 1979 Piecewise linear fibrations. Zbl 0654.57011Chapman, T. A. 3 1987 Controlled boundary and h-cobordism theorems. Zbl 0565.57010Chapman, T. A. 3 1983 Concordances of Hilbert cube manifolds. Zbl 0332.57003Chapman, T. A. 3 1976 Problems in the topology of infinite-dimensional spaces and manifolds. Zbl 0207.54203Anderson, R. D. (ed.); Chapman, T. A. (ed.); Schori, R. M. (ed.) 3 1971 A further note on closure and interior operators. Zbl 0113.37503Chapman, T. 3 1962 Controlled concordances. Zbl 0583.57011Chapman, T. A. 2 1984 Proper fibrations with n-manifold fibers. Zbl 0472.55011Chapman, T. A. 2 1981 Proper fibrations with Hilbert cube manifold fibers. Zbl 0464.57010Chapman, T. A. 2 1981 The space of retractions of a compact Hilbert cube manifold is an ANR. Zbl 0413.54013Chapman, T. A. 2 1978 Concordances of noncompact Hilbert cube manifolds. Zbl 0336.57001Chapman, T. A. 2 1976 On homeomorphisms of infinite dimensional bundles. II. Zbl 0288.58002Chapman, T. A.; Wong, R. Y. T. 2 1974 Locally-trivial bundles and microbundles with infinite-dimensional fibers. Zbl 0289.55015Chapman, T. A. 2 1973 Homotopic homeomorphisms of infinite-dimensional manifolds. Zbl 0278.58003Chapman, T. A. 2 1973 Surgery and handle straightening in Hilbert cube manifolds. Zbl 0267.57006Chapman, T. A. 2 1973 Characterizing shapes of compacta. Zbl 0256.55013Chapman, T. A. 2 1972 Shapes of some decomposition spaces. Zbl 0239.55012Chapman, T. A. 2 1972 Canonical extensions of homeomorphisms. Zbl 0238.57003Chapman, T. A. 2 1972 Some results on shapes and fundamental absolute retracts. Zbl 0227.54016Chapman, T. A. 2 1972 A general approximation theorem for Hilbert cube manifolds. Zbl 0529.57009Chapman, T. A. 1 1983 Locally homotopically unknotted embeddings of manifolds in codimension two are locally flat. Zbl 0425.57003Chapman, T. A. 1 1979 Locally flat embeddings of Hilbert cubes are flat. Zbl 0299.58003Chapman, T. A. 1 1975 Simple homotopy theory for compact Hilbert cube manifold factors. Zbl 0322.57005Chapman, T. A. 1 1974 On the theory of Hilbert cube manifolds. Zbl 0286.57003Chapman, T. A. 1 1974 Contractible Hilbert cube manifolds. Zbl 0259.58004Chapman, T. A. 1 1972 Deficiency in infinite-dimensional manifolds. Zbl 0212.28901Chapman, T. A. 1 1970 Some curious limits involving definite integrals. Zbl 0108.27004Gould, H. W.; Chapman, T. A. 1 1962 Piecewise linear fibrations. Zbl 0654.57011Chapman, T. A. 3 1987 Controlled concordances. Zbl 0583.57011Chapman, T. A. 2 1984 Controlled simple homotopy theory and applications. Zbl 0548.57001Chapman, T. A. 14 1983 Constructing approximate fibrations. Zbl 0526.55019Chapman, T. A.; Ferry, Steve 7 1983 Controlled boundary and h-cobordism theorems. Zbl 0565.57010Chapman, T. A. 3 1983 A general approximation theorem for Hilbert cube manifolds. Zbl 0529.57009Chapman, T. A. 1 1983 Lectures on Hilbert cube manifolds. (Lektsii o Q-mnogoobraziyakh). Transl. from the English. Zbl 0528.57002Chapman, T. A. 31 1981 Approximation results in topological manifolds. Zbl 0478.57009Chapman, T. A. 17 1981 Proper fibrations with n-manifold fibers. Zbl 0472.55011Chapman, T. A. 2 1981 Proper fibrations with Hilbert cube manifold fibers. Zbl 0464.57010Chapman, T. A. 2 1981 Approximation results in Hilbert cube manifolds. Zbl 0464.57009Chapman, T. A. 14 1980 Invariance of torsion and the Borsuk conjecture. Zbl 0539.57009Chapman, T. A. 4 1980 Approximating maps into fiber bundles by homeomorphisms. Zbl 0447.57010Chapman, T. A. 4 1980 Approximating homotopy equivalences by homeomorphisms. Zbl 0426.57004Chapman, T. A.; Ferry, Steve 31 1979 Homotopy conditions which detect simple homotopy equivalences. Zbl 0412.57015Chapman, T. A. 12 1979 Concordances of Hilbert cube manifolds and tubular neighborhoods of finite-dimensional manifolds. Zbl 0465.57003Chapman, T. A. 4 1979 Locally homotopically unknotted embeddings of manifolds in codimension two are locally flat. Zbl 0425.57003Chapman, T. A. 1 1979 The space of retractions of a compact Hilbert cube manifold is an ANR. Zbl 0413.54013Chapman, T. A. 2 1978 Finding a boundary for a Hilbert cube manifold. Zbl 0361.57008Chapman, T. A.; Siebenmann, L. C. 28 1977 Hurewicz fiber maps with ANR fibers. Zbl 0348.55008Chapman, T. A.; Ferry, Steve 12 1977 Simple homotopy theory for ANR’s. Zbl 0376.57010Chapman, T. A. 9 1977 Lectures on Hilbert cube manifolds. Expository lectures from the CBMS Regional Conference held at Guilford College, October 11-15, 1975. Zbl 0347.57005Chapman, T. A. 77 1976 Concordances of Hilbert cube manifolds. Zbl 0332.57003Chapman, T. A. 3 1976 Concordances of noncompact Hilbert cube manifolds. Zbl 0336.57001Chapman, T. A. 2 1976 Homotopic homeomorphisms of Hilbert cube manifolds. Zbl 0317.57009Chapman, T. A. 47 1975 Cell-like mappings of Hilbert cube manifolds: solution of a handle problem. Zbl 0308.58002Chapman, T. A. 7 1975 Locally flat embeddings of Hilbert cubes are flat. Zbl 0299.58003Chapman, T. A. 1 1975 Topological invariance of Whitehead torsion. Zbl 0358.57004Chapman, T. A. 32 1974 Cell-like mappings of Hilbert cube manifolds: applications to simple homotopy theory. Zbl 0289.58003Chapman, T. A. 6 1974 On homeomorphisms of infinite dimensional bundles. III. Zbl 0288.58003Chapman, T. A.; Wong, R. Y. T. 5 1974 On homeomorphisms of infinite dimensional bundles. II. Zbl 0288.58002Chapman, T. A.; Wong, R. Y. T. 2 1974 Simple homotopy theory for compact Hilbert cube manifold factors. Zbl 0322.57005Chapman, T. A. 1 1974 On the theory of Hilbert cube manifolds. Zbl 0286.57003Chapman, T. A. 1 1974 Compact Hilbert cube manifolds and the invariance of Whitehead torsion. Zbl 0251.57004Chapman, T. A. 16 1973 Homeomorphisms of Hilbert cube manifolds. Zbl 0288.57002Chapman, T. A. 5 1973 Locally-trivial bundles and microbundles with infinite-dimensional fibers. Zbl 0289.55015Chapman, T. A. 2 1973 Homotopic homeomorphisms of infinite-dimensional manifolds. Zbl 0278.58003Chapman, T. A. 2 1973 Surgery and handle straightening in Hilbert cube manifolds. Zbl 0267.57006Chapman, T. A. 2 1973 On some applications of infinite-dimensional manifolds to the theory of shape. Zbl 0262.55016Chapman, T. A. 34 1972 On the structure of Hilbert cube manifolds. Zbl 0246.57005Chapman, T. A. 13 1972 Shapes of finite-dimensional compacta. Zbl 0222.55019Chapman, T. A. 11 1972 Characterizing shapes of compacta. Zbl 0256.55013Chapman, T. A. 2 1972 Shapes of some decomposition spaces. Zbl 0239.55012Chapman, T. A. 2 1972 Canonical extensions of homeomorphisms. Zbl 0238.57003Chapman, T. A. 2 1972 Some results on shapes and fundamental absolute retracts. Zbl 0227.54016Chapman, T. A. 2 1972 Contractible Hilbert cube manifolds. Zbl 0259.58004Chapman, T. A. 1 1972 Dense sigma-compact subsets of infinite-dimensional manifolds. Zbl 0208.51903Chapman, T. A. 37 1971 Extending homeomorphisms to Hilbert cube manifolds. Zbl 0227.57004Anderson, R. D.; Chapman, T. A. 13 1971 Deficiency in infinite-dimensional manifolds. Zbl 0228.57008Chapman, T. A. 7 1971 Problems in the topology of infinite-dimensional spaces and manifolds. Zbl 0207.54203Anderson, R. D. (ed.); Chapman, T. A. (ed.); Schori, R. M. (ed.) 3 1971 Four classes of separable metric infinite-dimensional manifolds. Zbl 0191.21902Chapman, T. A. 8 1970 Hilbert cube manifolds. Zbl 0205.53601Chapman, T. A. 7 1970 Infinite deficiency in Frechet manifolds. Zbl 0194.55601Chapman, T. A. 6 1970 Deficiency in infinite-dimensional manifolds. Zbl 0212.28901Chapman, T. A. 1 1970 A further note on closure and interior operators. Zbl 0113.37503Chapman, T. 3 1962 Some curious limits involving definite integrals. Zbl 0108.27004Gould, H. W.; Chapman, T. A. 1 1962 all cited Publications top 5 cited Publications all top 5 Cited by 258 Authors 20 Chapman, Thomas Ashland 16 Sakai, Katsuro 12 Ferry, Steven C. 9 Guilbault, Craig R. 9 van Mill, Jan 8 Farrell, F. Thomas 8 Geoghegan, Ross 8 Repovš, Dušan D. 7 Antonyan, Sergey A. 7 Wong, Raymond Y. T. 6 Jones, Lowell Edwin 5 Banakh, Taras Onufrievich 5 Bryant, John Logan 5 Chigogidze, Alex 5 Daverman, Robert J. 5 Hastings, Harold M. 5 Hughes, C. Bruce 4 Chernikov, P. V. 4 Curtis, Douglas W. 4 Dijkstra, Jan J. 4 Dydak, Jerzy 4 Lück, Wolfgang 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 Fedorchuk, Vitaly Vitalievich 3 Friedl, Stefan 3 Friedman, Greg 3 Grove, Karsten 3 Henderson, James P. 3 Jonard-Pérez, Natalia 3 Macías, Sergio 3 Martin, John Rowlay 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 D. 2 Ball, Billy Joe 2 Bartels, Arthur C. 2 Bazylevych, Lidiya 2 Ben Aribi, Fathi 2 Bestvina, Mladen 2 Bowers, Philip L. 2 Burghelea, Dan 2 Čerin, Zvonko Tomislav 2 Conway, Anthony 2 Cuchillo-Ibáñez, Eduardo 2 Curtis, Doug 2 Dobrowolski, Tadeusz 2 Edwards, David A. 2 Gu, Shijie 2 Hughes, Bruce 2 Husch, Laurence S. 2 Juárez-Ordóñez, Saúl 2 Khan, Qayum 2 Koshino, Katsuhisa 2 Koyama, Akira 2 Petersen, Peter V 2 Prassidis, Stratos 2 Ranicki, Andrew A. 2 Rolland, Jeffrey J. 2 Ruiz del Portal, Francisco Romero 2 Summerhill, R. Richard 2 Weinberger, Shmuel 2 Weiss, Michael S. 2 Wong, Raymund Y. T. 2 Wu, Jyh-Yang 2 Yagasaki, Tatsuhiko 2 Yokoi, Katsuya 2 Zaitov, Adilbek Atakhanovich 1 Alzer, Horst 1 Amarasinghe, A. K. 1 Ancel, Fredric D. 1 Artamonov, Dmitry V. 1 Ayupov, Shavkat Abdullaevich 1 Baars, Jan 1 Barragán, Franco 1 Basmanov, V. N. 1 Batanin, Mikhail A. 1 Bauer, Friedrich-Wilhelm 1 Bazilevich, L. Ë. 1 Belegradek, Igor 1 Berghammer, Rudolf 1 Bogatyĭ, Semeon Antonovich 1 Borsuk, Karol ...and 158 more Authors all top 5 Cited in 63 Serials 91 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 6 Geometriae Dedicata 6 Siberian Mathematical Journal 6 \(K\)-Theory 6 Geometry & Topology 5 Bulletin of the American Mathematical Society. New Series 5 Journal of Mathematical Sciences (New York) 4 Advances in Mathematics 4 Algebraic & Geometric Topology 3 Acta Mathematica 3 Osaka Journal of Mathematics 3 Journal of the American Mathematical Society 3 Central European Journal of Mathematics 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Archiv der Mathematik 2 Journal of the Mathematical Society of Japan 2 Mathematische Zeitschrift 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Journal of Topology 2 Journal of Topology and Analysis 1 Bulletin of the Australian Mathematical Society 1 International Journal of Theoretical Physics 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 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 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematica Slovaca 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Semigroup Forum 1 Forum Mathematicum 1 Science in China. Series A 1 The Journal of Geometric Analysis 1 Applied Mathematical Modelling 1 Journal of Knot Theory and its Ramifications 1 Russian Mathematics 1 Topology Proceedings 1 Annales Mathématiques Blaise Pascal 1 Electronic Research Announcements of the American Mathematical Society 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. Supplément. Mémoires 1 Proceedings of the Steklov Institute of Mathematics 1 Groups, Geometry, and Dynamics 1 Axioms 1 Journal of Mathematics all top 5 Cited in 29 Fields 225 Manifolds and cell complexes (57-XX) 152 General topology (54-XX) 107 Algebraic topology (55-XX) 42 Global analysis, analysis on manifolds (58-XX) 16 Functional analysis (46-XX) 15 \(K\)-theory (19-XX) 14 Group theory and generalizations (20-XX) 12 Category theory; homological algebra (18-XX) 11 Differential geometry (53-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Convex and discrete geometry (52-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 3 Fluid mechanics (76-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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