Let E be the total space of a Hurewicz fiber space whose base and all fibers are ANRs. We prove that if E is metrisable, then it is also an ANR.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-2-1,
author = {Robert Cauty},
title = {Solution d'un probleme de Fadell sur les fibres},
journal = {Colloquium Mathematicae},
volume = {89},
year = {2001},
pages = {151-157},
zbl = {1079.54512},
language = {fra},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-2-1}
}
Robert Cauty. Solution d'un probleme de Fadell sur les fibres. Colloquium Mathematicae, Tome 89 (2001) pp. 151-157. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-2-1/