Abstract
Zabrodskyâs Lemma says: Suppose given a fibrant space $Y$ and a homotopy fiber sequence $F\to E\to X$ with $X$ connected. If the map $Y=\operatorname {map} (*,Y)\to \operatorname {map} (F,Y)$ which is induced by $F\to *$ is a weak equivalence, then $\operatorname {map} (X,Y)\to \operatorname {map} (E,Y)$ is a weak equivalence. This has been generalized by Bousfield. We improve on Bousfieldâs generalization and give some applications.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Similar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.