# Homotopic homeomorphisms of infinite-dimensional manifolds

Compositio Mathematica (1973)

- Volume: 27, Issue: 2, page 135-140
- ISSN: 0010-437X

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topChapman, T. A.. "Homotopic homeomorphisms of infinite-dimensional manifolds." Compositio Mathematica 27.2 (1973): 135-140. <http://eudml.org/doc/89184>.

@article{Chapman1973,

author = {Chapman, T. A.},

journal = {Compositio Mathematica},

language = {eng},

number = {2},

pages = {135-140},

publisher = {Noordhoff International Publishing},

title = {Homotopic homeomorphisms of infinite-dimensional manifolds},

url = {http://eudml.org/doc/89184},

volume = {27},

year = {1973},

}

TY - JOUR

AU - Chapman, T. A.

TI - Homotopic homeomorphisms of infinite-dimensional manifolds

JO - Compositio Mathematica

PY - 1973

PB - Noordhoff International Publishing

VL - 27

IS - 2

SP - 135

EP - 140

LA - eng

UR - http://eudml.org/doc/89184

ER -

## References

top- [1] R.D. Anderson, Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc., 72 (1966) 515-519. Zbl0137.09703MR190888
- [2] C. Bessaga and M.I. Kadec, On topological classification of non-separable Banach spaces, (to appear). Zbl0247.58002MR417765
- [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. Zbl0102.10001MR132385
- [4] D. Burghelea and D.W. Henderson, Smoothings and homeomorphisms for Hilbert manifolds, Bull. Amer. Math. Soc., 76 (1970) 1261-1265. Zbl0211.56004MR283827
- [5] T.A. Chapman, On the structure of Hilbert cube manifolds, Compositio Math., 24 (1972) 329-353. Zbl0246.57005MR305432
- [6] T.A. Chapman, Deficiency in infinite-dimensional manifolds, General Topology and its Applications, 1 (1971) 263-272. Zbl0228.57008MR322898
- [7] J. Dugundji, Topology, Allyn and Bacon, Inc., Boston, 1966. Zbl0144.21501MR193606
- [8] D.W. Henderson, Corrections and extensions of two papers about infinite-dimensional manifolds, (preprint). Zbl0227.57003MR293677
- [9] R.S. Palais, Homotopy theory of infinite-dimensional manifolds. Topology, 5 (1966) 1-16. Zbl0138.18302MR189028
- [10] R.M. Schori, Topological stability for infinite-dimensional manifolds. Compositio Math. (to appear). Zbl0219.57003MR287586
- [11] Raymond Y.T. Wong, Parametric extension of homeomorphisms for Hilbert manifolds (preprint). Zbl0295.58003

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