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


Lifting Gottlieb sets and duality

Author: Yeon Soo Yoon
Journal: Proc. Amer. Math. Soc. 119 (1993), 1315-1321
MSC: Primary 55P05; Secondary 55R05
MathSciNet review: 1184089
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Abstract: Let $ p:{E_f} \to X$ be a fibration induced by a map $ f:X \to Y$ from the path space fibration $ \varepsilon :PY \to Y$. Let $ g:A \to X$ be cyclic. When does $ g$ lift to a map $ A \to {E_f}$ which is cyclic? We give an answer of this question for arbitrary $ A$ and $ Y$. Also, we give an answer in the dual situation.

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PII: S 0002-9939(1993)1184089-7
Keywords: Cyclic maps, cocyclic maps, principal fibrations, principal cofibrations
Article copyright: © Copyright 1993 American Mathematical Society