A proof of the homotopy push-out and pull-back lemma

Sakai, Michihiro

doi:10.1090/S0002-9939-01-05856-7

A proof of the homotopy push-out and pull-back lemma
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by Michihiro Sakai PDF

Proc. Amer. Math. Soc. 129 (2001), 2461-2466 Request permission

Abstract:

The homotopy push-out and pull-back lemma of Iwase (1998) is a generalized version of Theorem 1.1 of Ganea (1965) and the Theorem of Rutter (1971) whose proofs were given under the simply-connectivity condition. The purpose of this paper is to give a proof in the general case.

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