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Proceedings of the American Mathematical Society

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Self-homotopy-equivalences of a space with two nonvanishing homotopy groups


Author: Kouzou Tsukiyama
Journal: Proc. Amer. Math. Soc. 79 (1980), 134-138
MSC: Primary 55Q05; Secondary 55P10
MathSciNet review: 560599
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Abstract: The group $ {G_\char93 }(X)$ is isomorphic to $ {H^n}({\pi _1}(X);{\pi _n}(X))$ for the connected CW-complex X with two nonvanishing homotopy groups $ {\pi _1}(X),{\pi _n}(X)$, where $ {\pi _1}(X)$ acts on $ {\pi _n}(X)$ usually.


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DOI: https://doi.org/10.1090/S0002-9939-1980-0560599-9
Keywords: Homotopy equivalence, twisted principal fibration, local coefficient cohomology
Article copyright: © Copyright 1980 American Mathematical Society