×

Converting compact ANR fibrations into locally trivial bundles with compact manifolds as fibres. (English) Zbl 0524.55019


MSC:

55R65 Generalizations of fiber spaces and bundles in algebraic topology
54C55 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)
55R10 Fiber bundles in algebraic topology
PDFBibTeX XMLCite
Full Text: Numdam EuDML

References:

[1] D. Burghelea : Compact ANR-fibrations and stability of topological and p.l. concordances (manuscript).
[2] Burghelea , Lashof and Rothenberg : Groups of automorphisms of manifolds , L.N. in Math. 473, Springer Verlag. · Zbl 0307.57013 · doi:10.1007/BFb0079981
[3] Burghelea and Lashof : Geometric transfer and the homotopy type of the automorphisms groups of manifolds . (To appear in TAMS 1981.) · Zbl 0489.57008 · doi:10.2307/1998592
[4] T. Chapman : Concordances of hilbert cube manifolds and tubular neighborhoods of finite dimensional manifolds , Geometric Topology, Academic Press, NY (1979). · Zbl 0465.57003
[5] T. Chapman : Lectures on hilbert cube manifolds , CBMS Regional conferences series in Math. 28 (1976). · Zbl 0347.57005
[6] T. Chapman and S. Ferry : Hourewicz fiber maps with ANR fibers , Topology 16 (1977) 131-143. · Zbl 0348.55008 · doi:10.1016/0040-9383(77)90011-8
[7] A. Hatcher : Higher simple homotopy theory , Ann. Math. 102 (0000) 101-137. · Zbl 0305.57009 · doi:10.2307/1970977
[8] A. Fathi and Y.M. Vissetti : Deformation of open embeddings of Q-manifolds , TAMS, vol. 224, no. 2 (1976). · Zbl 0398.58007 · doi:10.2307/1997487
[9] T. Chapman : Controlled concordances (preprint). · Zbl 0583.57011
[10] T. Chapman and S. Ferry : Hauptvermutung for Hilbert cube manifolds .... (handwritten manuscript). · Zbl 0401.57028
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.