Vol. 75, No. 2, 1978

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ISSN: 0030-8730
Strongly regular mappings with compact ANR fibers are Hurewicz fiberings

Steve Ferry

Vol. 75 (1978), No. 2, 373–382
Abstract

We prove that a strongly regular map f : E B with compact separable ANR fibers and complete separable finite dimensional base space B is a Hurewicz fibering. We also show that if f is a Hurewicz fiber map with locally compact ANR fibers and base, then the total space E is an ANR.

Mathematical Subject Classification 2000
Primary: 55R65
Milestones
Received: 2 April 1976
Revised: 26 April 1977
Published: 1 April 1978
Authors
Steve Ferry
Department of Mathematics
Rutgers University
Hill Center - Busch Campus 110 Frelinghuysen Road
Piscataway NJ 08854-8019
United States