# 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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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

top- [1] T.A. Chapman: Lectures on Hilbert cube manifolds, C.B.M.S. Regional Conference Series in Math., No. 28 (1976). Zbl0347.57005MR423357
- [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
- [4] T.A. Chapman and Steve Ferry: Approximating homotopy equivalences by homeomorphisms, Amer. J. Math.101 (1979) 583-607. Zbl0426.57004MR533192
- [5] T.A. Chapman and Steve Ferry: Constructing approximate fibrations, Trans. Amer. Math. Soc.276 (1983) 757-774. Zbl0526.55019MR688976
- [6] T.A. Chapman and R.Y.T. Wong: On homeomorphisms of infinite dimensional bundles. III. Trans. Amer. Math. Soc.191 (1974) 269-276. Zbl0288.58003MR415627
- [7] J. Cheeger and J. Kister: Counting toplogical manifolds, Topology9 (1970) 149-152. Zbl0199.58403MR256399
- [8] D.S. Coram and P.F. Duvall, Jr.: Approximate fibrations, Rocky Mtn. J. Math.7 (1977) 275-288. Zbl0367.55019MR442921
- [9] D.S. Coram and P.F. Duvall, Jr.: Approximate fibrations and a movability condition for maps, Pacific J. Math.72 (1977) 41-56. Zbl0368.55016MR467745
- [10] James Dugundji: Topology, Allyn and Bacon, Inc., Boston (1966). Zbl0144.21501MR193606
- [11] R.D. Edwards and R.C. Kirby: Deformations of spaces of embeddings, Ann. of Math.93 (1971) 63-88. Zbl0214.50303MR283802
- [12] A. Fathi and Y.M. Visetti: Deformation of open embeddings of Q-manifolds, Trans. Amer. Math. Soc.224 (1976) 427-436. Zbl0398.58007MR420668
- [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
- [20] L.C. Siebenmann: Deformation of homeomorphisms on stratified sets, Comment. Math. Helv.47 (1972) 123-163. Zbl0252.57012MR319207
- [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

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