Homotopic homeomorphisms of infinite-dimensional manifolds

T. A. Chapman

Compositio Mathematica (1973)

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

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Chapman, 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

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  1. [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. [2] C. Bessaga and M.I. Kadec, On topological classification of non-separable Banach spaces, (to appear). Zbl0247.58002MR417765
  3. [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. [4] D. Burghelea and D.W. Henderson, Smoothings and homeomorphisms for Hilbert manifolds, Bull. Amer. Math. Soc., 76 (1970) 1261-1265. Zbl0211.56004MR283827
  5. [5] T.A. Chapman, On the structure of Hilbert cube manifolds, Compositio Math., 24 (1972) 329-353. Zbl0246.57005MR305432
  6. [6] T.A. Chapman, Deficiency in infinite-dimensional manifolds, General Topology and its Applications, 1 (1971) 263-272. Zbl0228.57008MR322898
  7. [7] J. Dugundji, Topology, Allyn and Bacon, Inc., Boston, 1966. Zbl0144.21501MR193606
  8. [8] D.W. Henderson, Corrections and extensions of two papers about infinite-dimensional manifolds, (preprint). Zbl0227.57003MR293677
  9. [9] R.S. Palais, Homotopy theory of infinite-dimensional manifolds. Topology, 5 (1966) 1-16. Zbl0138.18302MR189028
  10. [10] R.M. Schori, Topological stability for infinite-dimensional manifolds. Compositio Math. (to appear). Zbl0219.57003MR287586
  11. [11] Raymond Y.T. Wong, Parametric extension of homeomorphisms for Hilbert manifolds (preprint). Zbl0295.58003

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