The equivariant Serre spectral sequence. (English) Zbl 0791.55004
Summary: 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.
MSC:
| 55N91 | Equivariant homology and cohomology in algebraic topology |
| 55R91 | Equivariant fiber spaces and bundles in algebraic topology |
| 55T10 | Serre spectral sequences |
Keywords:
group action; Bredon cohomology; homotopy equivalence; Serre spectral sequence; equivariant fibrationsReferences:
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