A VERSION OF ZABRODSKY LEMMA

Authors
TAI JY
Citation
Jy. Tai, A VERSION OF ZABRODSKY LEMMA, Proceedings of the American Mathematical Society, 126(5), 1998, pp. 1573-1578
Citations number
4
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
5
Year of publication
1998
Pages
1573 - 1578
Database
ISI
SICI code
0002-9939(1998)126:5<1573:>2.0.ZU;2-I
Abstract
Zabrodsky's Lemma says: Suppose given a fibrant space Y and a homotopy fiber sequence F --> E --> X with X connected. If the map Y = map(, Y) --> map(F, Y) which is induced by F --> is a weak equivalence, th en map(X, Y) --> map(E, Y) is a weak equivalence. This has been genera lized by Bousfield. We improve on Bousfield's generalization and give some applications.