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Proceedings of the American Mathematical Society
Journal Article

The Equivariant Serre Spectral Sequence

I. Moerdijk and J.-A. Svensson
Proceedings of the American Mathematical Society
Vol. 118, No. 1 (May, 1993), pp. 263-278
Published by: American Mathematical Society
DOI: 10.2307/2160037
https://www.jstor.org/stable/2160037
Page Count: 16

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Topics: Functors, Coefficients, Tensors, Equivalence relation, Topological spaces, Commutativity, Spectral resolution, Vertices
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The Equivariant Serre Spectral Sequence
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Abstract

For spaces with a group action, we introduce Bredon cohomology with local (or twisted) coefficients and show that it is invariant under weak equivariant homotopy equivalence. We use this new cohomology to construct a Serre spectral sequence for equivariant fibrations.
Proceedings of the American Mathematical Society © 1993 American Mathematical Society