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Homotopic homeomorphisms of infinite-dimensional manifolds. (English) Zbl 0278.58003


MSC:

58B05 Homotopy and topological questions for infinite-dimensional manifolds
57N20 Topology of infinite-dimensional manifolds
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References:

[1] R.D. Anderson , Hilbert space is homeomorphic to the countable infinite product of lines , Bull. Amer. Math. Soc., 72 (1966) 515-519. · Zbl 0137.09703 · doi:10.1090/S0002-9904-1966-11524-0
[2] C. Bessaga and M.I. Kadec , On topological classification of non-separable Banach spaces , (to appear). · Zbl 0247.58002
[3] C. Bessaga and A. Pelczynski , Some remarks on homeomorphisms of Banach spaces , Bull. Acad. Polon. Sci. Ser. Sci. Math. Astro. Phys., 8 (1960) 757-761. · Zbl 0102.10001
[4] D. Burghelea and D.W. Henderson , Smoothings and homeomorphisms for Hilbert manifolds , Bull. Amer. Math. Soc., 76 (1970) 1261-1265. · Zbl 0211.56004 · doi:10.1090/S0002-9904-1970-12630-1
[5] T.A. Chapman , On the structure of Hilbert cube manifolds , Compositio Math., 24 (1972) 329-353. · Zbl 0246.57005
[6] T.A. Chapman , Deficiency in infinite-dimensional manifolds , General Topology and its Applications, 1 (1971) 263-272. · Zbl 0228.57008 · doi:10.1016/0016-660X(71)90097-3
[7] J. Dugundji , Topology , Allyn and Bacon, Inc., Boston, 1966. · Zbl 0144.21501
[8] D.W. Henderson , Corrections and extensions of two papers about infinite-dimensional manifolds , (preprint). · Zbl 0227.57003 · doi:10.1016/0016-660X(71)90004-3
[9] R.S. Palais , Homotopy theory of infinite-dimensional manifolds . Topology, 5 (1966) 1-16. · Zbl 0138.18302 · doi:10.1016/0040-9383(66)90002-4
[10] R.M. Schori , Topological stability for infinite-dimensional manifolds . Compositio Math. (to appear). · Zbl 0219.57003
[11] Raymond Y.T. Wong , Parametric extension of homeomorphisms for Hilbert manifolds (preprint). · Zbl 0295.58003
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