Fibrations and Bundles with Hilbert Cube Manifold Fibers

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· American Mathematical Soc.
Ebook
75
Pages

About this ebook

We analyze fibrations over paracompact Hausdorff bases with locally compact ANR fibers and show that a fibred analog of the first author's characterization of Hilbert cube manifolds detects the Hilbert cube manifold bundles if the fibers are compact or the base is semi-locally contractible. This shows that Hurewicz fibrations with Hilbert cube manifold fibers over CW-complexes with compact fibers or proper fiber transport are bundles.
We analyze fibrations over paracompact Hausdorff bases with locally compact ANR fibers and show that a fibred analog of the first author's characterization of Hilbert cube manifolds detects the Hilbert cube manifold bundles if the fibers are compact or the base is semi-locally contractible. This ...

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