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Proceedings of the American Mathematical Society

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

 
 

 

A spectral sequence for the intersection of subspace pairs


Author: Richard N. Cain
Journal: Proc. Amer. Math. Soc. 43 (1974), 229-236
MSC: Primary 55H05
DOI: https://doi.org/10.1090/S0002-9939-1974-0388395-3
MathSciNet review: 0388395
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Abstract: A general-homology spectral sequence that generalizes the Mayer-Vietoris exact sequence is established between the intersection of a family of subspace pairs and the system of partial unions of the family. The basis of the construction is a topological analogue of the “bar construction” of homological algebra.


References [Enhancements On Off] (What's this?)

    J. T. Schwartz, Differential geometry and topology, Courant Inst. of Math. Sci. Report, New York, 1966, Gordon and Breach, New York, 1968.
  • E. C. Zeeman, Dihomology. I. Relations between homology theories, Proc. London Math. Soc. (3) 12 (1962), 609–638. MR 153009, DOI https://doi.org/10.1112/plms/s3-12.1.609

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Keywords: Spectral sequence, general homology, general cohomology, cover, duality
Article copyright: © Copyright 1974 American Mathematical Society