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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Nilpotency of homotopy pushouts


Author: Vidhyanath Rao
Journal: Proc. Amer. Math. Soc. 87 (1983), 335-341
MSC: Primary 55P99; Secondary 55P60
MathSciNet review: 681844
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Abstract: Precise and effectively verifiable conditions are obtained for the pushout of a nilpotent space along a cofibration inducing a surjection of fundamental groups to be nilpotent. As an application we show that homotopical localization preserves cofiber sequences of nilpotent spaces.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0681844-8
PII: S 0002-9939(1983)0681844-8
Keywords: Nilpotent spaces, homotopy limits and colimits
Article copyright: © Copyright 1983 American Mathematical Society