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Fibrations and Bundles with Hilbert Cube Manifold Fibers

Henryk ToruńczykJames West

出版	American Mathematical Soc., 1989
主題	Mathematics / GeneralMathematics / Functional AnalysisMathematics / Topology
ISBN	08218247169780821824719
URL	http://books.google.com.hk/books?id=k2LUCQAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.