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HOMOTOPY EXCISION AND CELLULARITY
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2016 (English)In: Annales de l'Institut Fourier, ISSN 0373-0956, E-ISSN 1777-5310, Vol. 66, no 6, 2641-2665 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
ANNALES INST FOURIER , 2016. Vol. 66, no 6, 2641-2665 p.
Keyword [en]
homotopy excision, cellular inequality, total fiber, homotopy localization
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-203194ISI: 000393926200013Scopus ID: 2-s2.0-84999808944OAI: oai:DiVA.org:kth-203194DiVA: diva2:1081456
Note

QC 20170314

Available from: 2017-03-14 Created: 2017-03-14 Last updated: 2017-06-16Bibliographically approved

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