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/