A pullback theorem for cofibrations. (English) Zbl 0617.55002

The pullback theorem in this note is an extension of a well-known theorem of A. Strøm which states: if \(p: E\to B\) is a fibration and \(A\subset B\) is a closed cofibration, then \(p^{-1}(A)\subset E\) is a closed cofibration. An application on locally equiconnected spaces, and a discussion of the dual problem are also given.


55P05 Homotopy extension properties, cofibrations in algebraic topology
55R05 Fiber spaces in algebraic topology
54F99 Special properties of topological spaces
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