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References
R. D. ANDERSON-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].
R. D. ANDERSON-On topological infinite deficiency, Michigan Math. J. 14(1967), 365–383.
R. D. ANDERSON-Strongly negligible sets in Fréchet manifolds, Bull. Amer. Math. Soc. 75(1969), 64–67.
R. D. ANDERSON-Homeomorphisms on infinite-dimensional manifolds, Actes, Congrès International des Mathématiciens, Nice 1970, Tome 2, 13–18.
R. D. ANDERSON and R. H. BING-A completely elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc. 74(1968), 771–792.
R. H. BING-A homeomorphism between the 3-sphere and the sum of two solid horned spheres, Annals of Math. 56(1952), 354–362.
T. A. CHAPMAN-Cell-like mappings of Hilbert cube manifolds: Solution of a handle problem, General Top. and Appl. 5(1975), 123–145.
T. A. CHAPMAN-Lectures on Hilbert Cube Manifolds, Regional Conference Series in Mathematics no 28, Amer. Math. Soc. 1976.
D. W. CURTIS and R. M. SCHORI-2X and C(X) are homeomorphic to the Hilbert cube, Bull. Amer. Math. Soc. 80(1974), 927–931.
R. D. EDWARDS-The ANR Theorem, Chapter 14 in [Ch2].
A. E. HATCHER-Higher simple homotopy theory, Annals of Math. 102(1975), 101–137.
W. E. HAVER-Mappings between ANR's that are fine homotopy equivalences, Pacific Jour. Math. 58(1975), 457–461.
S.-T. HU-Theory of Retracts, Wayne State University Press, 1965.
R. C. LACHER-Cell-like mappings, I, Pacific Jour. Math. 30(1969), 717–731.
R. T. MILLER-Mapping cylinder neighborhoods of some ANR's, Annals of Math. 103(1976), 417–427. Announced in Bull. Amer. Math. Soc. 81(1975), 187–188.
R. M. SCHORI and J. E. WEST-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.
H. TORUŃCZYK-Absolute retracts as factors of normed linear spaces, Fund. Math. 86(1974), 53–67.
H. TORUŃCZYK-On CE-images of the Hilbert cube and characterization of Q-manifolds, Fund. Math., to appear.
H. TORUŃCZYK-Characterizing Hilbert space topology, Preprint 143, Institute of Mathematics, Polish Academy of Sciences, 1978.
H. TORUŃCZYK-An Introduction to Infinite-Dimensional Topology, in preparation.
J. E. WEST-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.
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© 1980 N. Bourbaki
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Edwards, R.D. (1980). Characterzing infinite dimensional manifolds topologically [after Henryk Toruńczyk]. In: Séminaire Bourbaki vol. 1978/79 Exposés 525 – 542. Lecture Notes in Mathematics, vol 770. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0096247
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DOI: https://doi.org/10.1007/BFb0096247
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