Let $X$ and $Y$ be CW-complexes and $f:X\to Y$ a Serre fibration. Then $f$ is in fact a Hurewicz fibration (at least in a convenient category of spaces).

This was originally proven in

- Mark Steinberger and James West,
*Covering homotopy properties of maps between C.W. complexes or ANRs*, Proc. Amer. Math. Soc. 92 (1984), 573-577, web page with fulltext PDF

An error was corrected in

- Robert Cauty,
*Sur les ouverts des CW-complexes et les fibrés de Serre*, Colloquium Mathematicae (1992) Volume: 63, Issue: 1, page 1-7, web page with fulltext PDF

Created on January 8, 2019 at 13:23:47. See the history of this page for a list of all contributions to it.