Homotopy Excision And Cellularity

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.


Published in:
Annales De L Institut Fourier, 66, 6, 2641-2665
Year:
2016
Publisher:
St Martin D Heres Cedex, Annales Inst Fourier
ISSN:
0373-0956
Keywords:
Laboratories:




 Record created 2017-03-27, last modified 2018-03-17


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