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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 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
Proc. Amer. Math. Soc. 43 (1974), 229-236
DOI: https://doi.org/10.1090/S0002-9939-1974-0388395-3
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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
    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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Bibliographic 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