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A proof of the homotopy push-out and pull-back lemma
Authors:Michihiro Sakai
Institution:Graduate school of Mathematics, Kyushu University, Fukuoka, Japan, 812-8581
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.

Keywords:Homotopy push-out  homotopy pull-back  NDR-pair
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