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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A spectral sequence for the intersection of subspace pairs
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by Richard N. Cain PDF
Proc. Amer. Math. Soc. 43 (1974), 229-236 Request permission

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
    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 10.1112/plms/s3-12.1.609
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • 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