A pullback theorem for cofibrations (Q1822086)

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.