no. 2
Spaces of approximate fibrations on Hilbert cube manifolds
Compositio Mathematica, Tome 56 (1985) no. 2, pp. 131-151 
@article{CM_1985__56_2_131_0,
     author = {Hughes, C. Bruce},
     title = {Spaces of approximate fibrations on {Hilbert} cube manifolds},
     journal = {Compositio Mathematica},
     pages = {131--151},
     year = {1985},
     publisher = {Martinus Nijhoff Publishers},
     volume = {56},
     number = {2},
     mrnumber = {809863},
     zbl = {0583.57009},
     language = {en},
     url = {https://www.numdam.org/item/CM_1985__56_2_131_0/}
}
TY  - JOUR
AU  - Hughes, C. Bruce
TI  - Spaces of approximate fibrations on Hilbert cube manifolds
JO  - Compositio Mathematica
PY  - 1985
SP  - 131
EP  - 151
VL  - 56
IS  - 2
PB  - Martinus Nijhoff Publishers
UR  - https://www.numdam.org/item/CM_1985__56_2_131_0/
LA  - en
ID  - CM_1985__56_2_131_0
ER  - 
%0 Journal Article
%A Hughes, C. Bruce
%T Spaces of approximate fibrations on Hilbert cube manifolds
%J Compositio Mathematica
%D 1985
%P 131-151
%V 56
%N 2
%I Martinus Nijhoff Publishers
%U https://www.numdam.org/item/CM_1985__56_2_131_0/
%G en
%F CM_1985__56_2_131_0
Hughes, C. Bruce. Spaces of approximate fibrations on Hilbert cube manifolds. Compositio Mathematica, Tome 56 (1985) no. 2, pp. 131-151. https://www.numdam.org/item/CM_1985__56_2_131_0/

[1] T.A. Chapman: Lectures on Hilbert cube manifolds, C.B.M.S. Regional Conference Series in Math., No. 28 (1976). | Zbl | MR

[2] T.A. Chapman: Approximation results in Hilbert cube manifolds, Trans. Amer. Math. Soc. 262 (1980) 303-334. | Zbl | MR

[3] T.A. Chapman and Steve Ferry, Hurewicz fiber maps with ANR fibers, Topology 16 (1977), 131-143. | Zbl | MR

[4] T.A. Chapman and Steve Ferry: Approximating homotopy equivalences by homeomorphisms, Amer. J. Math. 101 (1979) 583-607. | Zbl | MR

[5] T.A. Chapman and Steve Ferry: Constructing approximate fibrations, Trans. Amer. Math. Soc. 276 (1983) 757-774. | Zbl | MR

[6] T.A. Chapman and R.Y.T. Wong: On homeomorphisms of infinite dimensional bundles. III. Trans. Amer. Math. Soc. 191 (1974) 269-276. | Zbl | MR

[7] J. Cheeger and J. Kister: Counting toplogical manifolds, Topology 9 (1970) 149-152. | Zbl | MR

[8] D.S. Coram and P.F. Duvall, Jr.: Approximate fibrations, Rocky Mtn. J. Math. 7 (1977) 275-288. | Zbl | MR

[9] D.S. Coram and P.F. Duvall, Jr.: Approximate fibrations and a movability condition for maps, Pacific J. Math. 72 (1977) 41-56. | Zbl | MR

[10] James Dugundji: Topology, Allyn and Bacon, Inc., Boston (1966). | Zbl | MR

[11] R.D. Edwards and R.C. Kirby: Deformations of spaces of embeddings, Ann. of Math. 93 (1971) 63-88. | Zbl | MR

[12] A. Fathi and Y.M. Visetti: Deformation of open embeddings of Q-manifolds, Trans. Amer. Math. Soc. 224 (1976) 427-436. | Zbl | MR

[13] Steve Feery: Approximate fibrations with nonfinite fibers, Proc. Amer. Math. Soc. 64 (1977) 335-345. | Zbl | MR

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

[15] William E. Haver: The closure of the space of homeomorphisms on a manifold, Trans. Amer. Math. Soc. 195 (1974) 401-419. | Zbl | MR

[16] C. Bruce Hughes: Local Homotopy Properties in Spaces of Approximate Fibrations, Dissertation, University of Kentucky (1981).

[17] C. Bruce Hughes: Approximate fibrations and bundle maps on Hilbert cube manifolds, Top. and its Applications 15 (1983) 159-172. | Zbl | MR

[18] C. Bruce Hughes: Bounded homotopy equivalences of Hilbert cube manifolds, preprint. | Zbl | MR

[19] L.S. Husch: Approximating approximate fibrations by fibrations, Canad. J. Math. 29 (1977) 897-913. | Zbl | MR

[20] L.C. Siebenmann: Deformation of homeomorphisms on stratified sets, Comment. Math. Helv. 47 (1972) 123-163. | Zbl | MR

[21] H. Torunczyk: Homeomorphism groups of compact Hilbert cube manifolds which are manifolds, Bull. Acad. Pol. Sci. 25 (1977) 401-408. | Zbl | MR

[22] H. Torunczyk and J. West: Fibrations and bundles with Hilbert cube manifold fibers, preprint. | Zbl