Hostname: page-component-7dd5485656-glrdx Total loading time: 0 Render date: 2025-10-31T16:47:09.577Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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).

Information

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

REFERENCES

(1)Cartan, H. and Eilenberg, S., Homological Algebra (Princeton, 1956).Google Scholar
(2)Eilenberg, S. and Steenrod, N., Foundations of Algebraic Topology (Princeton, 1952).CrossRefGoogle Scholar
(3)Godement, R., Théorie des Faisceaux (Paris, 1958).Google Scholar
(4)Serre, J. P., Faisceaux Algebriques Cohérents, Ann. of Math., 61, (1955).CrossRefGoogle Scholar