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research article
Homotopy Excision And Cellularity
Chacholski, Wojciech
•
Scherer, Jerome
•
Werndli, Kay
Consider a push-out diagram of spaces C <- A -> B, construct the homotopy push-out, and then the homotopy pull-back of the diagram one gets by forgetting the initial object A. We compare the difference between A and this homotopy pull-back. This difference is measured in terms of the homotopy fibers of the original maps. Restricting our attention to the connectivity of these maps, we recover the classical Blakers-Massey Theorem.
Type
research article
Web of Science ID
WOS:000393926200013
Authors
Chacholski, Wojciech
•
Scherer, Jerome
•
Werndli, Kay
Publication date
2016
Publisher
Published in
Volume
66
Issue
6
Start page
2641
End page
2665
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
March 27, 2017
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