J Austral Math Soc Ser A 45 pp326--340, 1988.

Cohomology with Exotic Supports and the Generalized Excision

Satya Deo, Dalip Singh Jamwal and Ram Krishan

(Received 18 November 1986)

Abstract

The main result in this paper is the following. Suppose X₁, X₂ are two subspaces of a space X such that X = Int (X₁) È X₂ = X₁ È Int(X₂). Then the pair (X₁, X₂) is a j-excisive pair in sheaf cohomology and for any family of supports j on X. This result settles an open question and includes all known results of j-excisiveness in sheaf cohomology as its special cases. We construct several examples to illustrate our main theorem and to show that it is, in fact, quite sharp.

1980 AMS Subject Classification (1985 Revision): primary 55N30; secondary 55N40

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Authors

Satya Deo
Dalip Singh Jamwal
Ram Krishan: Department of Mathematics, University of Jammu, Jammu-180 001, India.

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Last Modified: Wed Feb 19 10:27:48 2003