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