A general approximation theorem for Hilbert cube manifolds

T. A. Chapman

Compositio Mathematica (1983)

  • Volume: 48, Issue: 3, page 373-407
  • ISSN: 0010-437X

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Chapman, T. A.. "A general approximation theorem for Hilbert cube manifolds." Compositio Mathematica 48.3 (1983): 373-407. <http://eudml.org/doc/89600>.

@article{Chapman1983,
author = {Chapman, T. A.},
journal = {Compositio Mathematica},
keywords = {approximation by homeomorphism; homotopy equivalence between compact Hilbert cube manifolds; regularity condition on Whitehead group; mapping torus},
language = {eng},
number = {3},
pages = {373-407},
publisher = {Martinus Nijhoff Publishers},
title = {A general approximation theorem for Hilbert cube manifolds},
url = {http://eudml.org/doc/89600},
volume = {48},
year = {1983},
}

TY - JOUR
AU - Chapman, T. A.
TI - A general approximation theorem for Hilbert cube manifolds
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 48
IS - 3
SP - 373
EP - 407
LA - eng
KW - approximation by homeomorphism; homotopy equivalence between compact Hilbert cube manifolds; regularity condition on Whitehead group; mapping torus
UR - http://eudml.org/doc/89600
ER -

References

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  1. [1] T.A. Chapman: Homotopy conditions which detect simple homotopy equivalences. Pacific J. Math.80 (1979) 13-46. Zbl0412.57015MR534693
  2. [2] T.A. Chapman: Approximation results in Hilbert cube manifolds. Trans. A.M.S. (to appear). Zbl0464.57009MR586720
  3. [3] T.A. Chapman: Lectures on Hilbert cube manifolds. CBMS Regional Conf. Series in Math. No. 28, 1976. Zbl0347.57005MR423357
  4. [4] M. Cohen: A course in simple-homotopy theory, Springer-Verlag, New York, 1970. Zbl0261.57009MR362320
  5. [5] D. Coram and P. Duvall: Approximate fibrations, preprint. Zbl0367.55019MR442921
  6. [6] Steve Ferry: The homeomorphism group of a compact Hilbert cube manifold is an ANR. Annals of Math.106 (1977) 101-119. Zbl0375.57014MR461536
  7. [7] F. Quinn: Ends of maps, I, Annal. Math.110 (1979) 275-331. Zbl0394.57022MR549490
  8. [8] L.C. Siebenmann: Infinite simple homotopy types, Indag. Math.32 (1970) 479-495. Zbl0203.56002MR287542

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