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Cohomology with exotic supports and the generalized excision
Published online by Cambridge University Press: 09 April 2009
Abstract
The main result proved in this paper is the following. Suppose X1, X2 are two subspaces of a space X such that X = Int(X1)∪ X2 = X1 ∪ Int(X2). Then the pair (X1, X2) is a ϕ on X. This result settles an open question and includes all known results on ϕ-excisiveness in sheaf cohomology as its special cases. We construct several several examples to illustrate our main theorem and to show that it is, in fact, quite sharp.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 45 , Issue 3 , December 1988 , pp. 326 - 340
- Copyright
- Copyright © Australian Mathematical Society 1988
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