# Spaces of approximate fibrations on Hilbert cube manifolds

Compositio Mathematica (1985)

- Volume: 56, Issue: 2, page 131-151
- ISSN: 0010-437X

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top## How to cite

topHughes, C. Bruce. "Spaces of approximate fibrations on Hilbert cube manifolds." Compositio Mathematica 56.2 (1985): 131-151. <http://eudml.org/doc/89732>.

@article{Hughes1985,

author = {Hughes, C. Bruce},

journal = {Compositio Mathematica},

keywords = {maps between a Hilbert cube manifold and a polyhedron; approximate fibrations},

language = {eng},

number = {2},

pages = {131-151},

publisher = {Martinus Nijhoff Publishers},

title = {Spaces of approximate fibrations on Hilbert cube manifolds},

url = {http://eudml.org/doc/89732},

volume = {56},

year = {1985},

}

TY - JOUR

AU - Hughes, C. Bruce

TI - Spaces of approximate fibrations on Hilbert cube manifolds

JO - Compositio Mathematica

PY - 1985

PB - Martinus Nijhoff Publishers

VL - 56

IS - 2

SP - 131

EP - 151

LA - eng

KW - maps between a Hilbert cube manifold and a polyhedron; approximate fibrations

UR - http://eudml.org/doc/89732

ER -

## References

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- [2] T.A. Chapman: Approximation results in Hilbert cube manifolds, Trans. Amer. Math. Soc.262 (1980) 303-334. Zbl0464.57009MR586720
- [3] T.A. Chapman and Steve Ferry, Hurewicz fiber maps with ANR fibers, Topology16 (1977), 131-143. Zbl0348.55008MR448356
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- [5] T.A. Chapman and Steve Ferry: Constructing approximate fibrations, Trans. Amer. Math. Soc.276 (1983) 757-774. Zbl0526.55019MR688976
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- [13] Steve Feery: Approximate fibrations with nonfinite fibers, Proc. Amer. Math. Soc.64 (1977) 335-345. Zbl0424.55008MR461505
- [14] Steve Ferry: The homeomorphism group of a compact Hilbert cube manifold is an ANR, Ann. of Math.106 (1977) 101-119. Zbl0375.57014MR461536
- [15] William E. Haver: The closure of the space of homeomorphisms on a manifold, Trans. Amer. Math. Soc.195 (1974) 401-419. Zbl0295.54049MR362375
- [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 Applications15 (1983) 159-172. Zbl0506.55014MR686093
- [18] C. Bruce Hughes: Bounded homotopy equivalences of Hilbert cube manifolds, preprint. Zbl0527.57008MR768729
- [19] L.S. Husch: Approximating approximate fibrations by fibrations, Canad. J. Math.29 (1977) 897-913. Zbl0366.55006MR500990
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- [21] H. Torunczyk: Homeomorphism groups of compact Hilbert cube manifolds which are manifolds, Bull. Acad. Pol. Sci.25 (1977) 401-408. Zbl0349.57004MR515792
- [22] H. Torunczyk and J. West: Fibrations and bundles with Hilbert cube manifold fibers, preprint. Zbl0689.57013