# A general approximation theorem for Hilbert cube manifolds

Compositio Mathematica (1983)

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

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top## How to cite

topChapman, 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

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

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