nLab
a Serre fibration between CW-complexes is a Hurewicz fibration

Statement

Theorem

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

References

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 08:23:47. See the history of this page for a list of all contributions to it.