Vol. 54, No. 2, 1974

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The mapping cylinder axiom for WCHP fibrations

James Wirth

Vol. 54 (1974), No. 2, 263–279
Abstract

Given a flbre homotopy equivalence ϕ over B of flbre spaces E and F which have the Weak Covering Homotopy Propeny (WCHP), it is shown that ϕ has a generalized mapping cylinder which also possesses the WCHR The ordinary topological mapping cylinder M(ϕ) as a space over [0,1] × B does not necessarily possess the WCHP.

Mathematical Subject Classification
Primary: 55D05
Milestones
Received: 14 October 1970
Revised: 17 September 1974
Published: 1 October 1974
Authors
James Wirth