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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Homology of a fibration over an aspherical space


Author: Yasutoshi Nomura
Journal: Proc. Amer. Math. Soc. 34 (1972), 527-533
MSC: Primary 55F05
DOI: https://doi.org/10.1090/S0002-9939-1972-0296944-7
MathSciNet review: 0296944
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Abstract: The aim of this paper is to establish, for a fibration over a space of type (Q, 1), an exact sequence involving the homology homomorphisms induced by the projection. Specializing to the case where the total space is aspherical, our sequence allows us to add some extra terms to the Eckmann-Stammbach exact sequence for a group extension with simple integer coefficient.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0296944-7
Keywords: Homology group, fibration, aspherical space, homology of a group, group extension, Whitney join, cofibre
Article copyright: © Copyright 1972 American Mathematical Society

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