A general approximation theorem for Hilbert cube manifolds
Compositio Mathematica, Tome 48 (1983) no. 3, pp. 373-407. 
@article{CM_1983__48_3_373_0,
     author = {Chapman, T. A.},
     title = {A general approximation theorem for {Hilbert} cube manifolds},
     journal = {Compositio Mathematica},
     pages = {373--407},
     publisher = {Martinus Nijhoff Publishers},
     volume = {48},
     number = {3},
     year = {1983},
     mrnumber = {700747},
     zbl = {0529.57009},
     language = {en},
     url = {http://www.numdam.org/item/CM_1983__48_3_373_0/}
}
TY  - JOUR
AU  - Chapman, T. A.
TI  - A general approximation theorem for Hilbert cube manifolds
JO  - Compositio Mathematica
PY  - 1983
SP  - 373
EP  - 407
VL  - 48
IS  - 3
PB  - Martinus Nijhoff Publishers
UR  - http://www.numdam.org/item/CM_1983__48_3_373_0/
LA  - en
ID  - CM_1983__48_3_373_0
ER  - 
%0 Journal Article
%A Chapman, T. A.
%T A general approximation theorem for Hilbert cube manifolds
%J Compositio Mathematica
%D 1983
%P 373-407
%V 48
%N 3
%I Martinus Nijhoff Publishers
%U http://www.numdam.org/item/CM_1983__48_3_373_0/
%G en
%F CM_1983__48_3_373_0
Chapman, T. A. A general approximation theorem for Hilbert cube manifolds. Compositio Mathematica, Tome 48 (1983) no. 3, pp. 373-407. http://www.numdam.org/item/CM_1983__48_3_373_0/

[1] T.A. Chapman: Homotopy conditions which detect simple homotopy equivalences. Pacific J. Math. 80 (1979) 13-46. | MR | Zbl

[2] T.A. Chapman: Approximation results in Hilbert cube manifolds. Trans. A.M.S. (to appear). | MR | Zbl

[3] T.A. Chapman: Lectures on Hilbert cube manifolds. CBMS Regional Conf. Series in Math. No. 28, 1976. | MR | Zbl

[4] M. Cohen: A course in simple-homotopy theory, Springer-Verlag, New York, 1970. | MR | Zbl

[5] D. Coram and P. Duvall: Approximate fibrations, preprint. | MR | Zbl

[6] Steve Ferry: The homeomorphism group of a compact Hilbert cube manifold is an ANR. Annals of Math. 106 (1977) 101-119. | MR | Zbl

[7] F. Quinn: Ends of maps, I, Annal. Math. 110 (1979) 275-331. | MR | Zbl

[8] L.C. Siebenmann: Infinite simple homotopy types, Indag. Math. 32 (1970) 479-495. | MR | Zbl