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The Spectral Sequence of a Covering

Published online by Cambridge University Press:  20 January 2009

D. J. Simms
D. J. Simms
Affiliation:
Department of Mathematics, University of Glasgow
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Let be a covering of a topological space X and ℱ a sheaf of abelian groups over X. By a well known result of Leray, (3) II theorems 5.2.4. and 5.4.1., if is open, or closed and locally finite, there exists a spectral sequence {Er} satisfying isomorphisms and for some filtration of the graded group H*(X, ℱ). ℋq(ℱ) denotes the system of coefficients over : s→Hq(| s |, ℱ).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 12 , Issue 3 , June 1961 , pp. 149 - 158
Copyright
Copyright © Edinburgh Mathematical Society 1961

References

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