@incollection{SB_1978-1979__21__278_0, author = {Edwards, Robert D.}, title = {Characterizing infinite dimensional manifolds topologically}, booktitle = {S\'eminaire Bourbaki : vol. 1978/79, expos\'es 525-542}, series = {S\'eminaire Bourbaki}, note = {talk:540}, pages = {278--302}, publisher = {Springer-Verlag}, number = {21}, year = {1980}, mrnumber = {572429}, zbl = {0429.57004}, language = {en}, url = {http://www.numdam.org/item/SB_1978-1979__21__278_0/} }
TY - CHAP AU - Edwards, Robert D. TI - Characterizing infinite dimensional manifolds topologically BT - Séminaire Bourbaki : vol. 1978/79, exposés 525-542 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:540 PY - 1980 SP - 278 EP - 302 IS - 21 PB - Springer-Verlag UR - http://www.numdam.org/item/SB_1978-1979__21__278_0/ LA - en ID - SB_1978-1979__21__278_0 ER -
%0 Book Section %A Edwards, Robert D. %T Characterizing infinite dimensional manifolds topologically %B Séminaire Bourbaki : vol. 1978/79, exposés 525-542 %A Collectif %S Séminaire Bourbaki %Z talk:540 %D 1980 %P 278-302 %N 21 %I Springer-Verlag %U http://www.numdam.org/item/SB_1978-1979__21__278_0/ %G en %F SB_1978-1979__21__278_0
Edwards, Robert D. Characterizing infinite dimensional manifolds topologically, dans Séminaire Bourbaki : vol. 1978/79, exposés 525-542, Séminaire Bourbaki, no. 21 (1980), Exposé no. 540, 25 p. http://www.numdam.org/item/SB_1978-1979__21__278_0/
[An1] Topological properties of the Hilbert cube and the infinite product of open intervals, Trans. Amer. Math. Soc. 126(1967), 200-216. Announced in Bull. Amer. Math. Soc. 72(1966), 515-519. See also [A-B]. | MR | Zbl
-[An2] On topological infinite deficiency, Michigan Math. J. 14(1967), 365-383. | MR | Zbl
-[An3] Strongly negligible sets in Fréchet manifolds, Bull. Amer. Math. Soc. 75(1969), 64-67. | MR | Zbl
-[An4] Homeomorphisms on infinite-dimensional manifolds, Actes, Congrès International des Mathématiciens, Nice 1970, Tome 2, 13-18. | MR | Zbl
-[A-B] A completely elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc. 74(1968), 771-792. | MR | Zbl
and -[Bi] A homeomorphism between the 3-sphere and the sum of two solid horned spheres, Annals of Math. 56(1952), 354-362. | MR | Zbl
-[Ch1] Cell-like mappings of Hilbert cube manifolds : Solution of a handle problem, General Top. and Appl. 5(1975), 123-145. | MR | Zbl
-[Ch2] Lectures on Hilbert Cube Manifolds, Regional Conference Series in Mathematics n° 28, Amer. Math. Soc. 1976. | MR | Zbl
-[C-S] 2X and C(X) are homeomorphic to the Hilbert cube, Bull. Amer. Math. Soc. 80(1974), 927-931. | MR | Zbl
and -[Ed] The ANR Theorem, Chapter 14 in [Ch2].
-[Hat] Higher simple homotopy theory, Annals of Math. 102(1975), 101-137. | MR | Zbl
-[Hav] Mappings between ANR's that are fine homotopy equivalences, Pacific Jour. Math. 58(1975), 457-461. | MR | Zbl
-[Hu] Theory of Retracts, Wayne State University Press, 1965. | MR | Zbl
-[La] Cell-like mappings, I, Pacific Jour. Math. 30(1969), 717-731. | MR | Zbl
-[Mi] Mapping cylinder neighborhoods of some ANR's, Annals of Math. 103(1976), 417-427. Announced in Bull. Amer. Math. Soc. 81(1975), 187-188. | MR | Zbl
-[S-W] The hyperspace of the closed unit interval is a Hilbert cube, Trans. Amer. Math. Soc. 213(1975), 217-235. Announced in Bull. Amer. Math. Soc. 79(1973), 1286-1291. | MR | Zbl
and -[To1] Absolute retracts as factors of normed linear spaces, Fund. Math. 86(1974), 53-67. | MR | Zbl
-[To2] On CE-images of the Hilbert cube and characterization of Q-manifolds, Fund. Math., to appear. | MR | Zbl
-[To3] Characterizing Hilbert space topology, Preprint 143, Institute of Mathematics, Polish Academy of Sciences, 1978. | MR
-[To4] An Introduction to Infinite-Dimensional Topology, in preparation.
-[We] Mapping Hilbert cube manifolds to ANR's : a solution of a conjecture of Borsuk, Annals of Math. 106(1977), 1-18. Announced in Bull. Amer. Math. Soc. 81(1975), 163-165. | MR | Zbl
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