The Equivariant Serre Spectral Sequence

DOI10.2307/2160037zbMath0791.55004OpenAlexW4244484892MaRDI QIDQ4277351

Ieke Moerdijk, Jan-Alve Svensson

Publication date: 20 July 1994

Full work available at URL: https://doi.org/10.2307/2160037

zbMATH Keywords

group actionhomotopy equivalenceBredon cohomologySerre spectral sequenceequivariant fibrations

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Equivariant homology and cohomology in algebraic topology (55N91) Serre spectral sequences (55T10)

Related Items (21)

Homotopy and homology of fibred spaces ⋮ Steenrod \(\bigcup_i\)-products on Bredon--Illman cohomology ⋮ Homotopy \(G\)-algebra structure on Bredon-Illman cochain complex ⋮ Homotopy classification of braided graded categorical groups ⋮ A spectral sequence for Bredon cohomology ⋮ Higher cohomologies for presheaves of commutative monoids ⋮ Higher cohomologies of modules ⋮ Homotopy theory of monoid actions via group actions and an Elmendorf style theorem ⋮ A Reidemeister trace for fibred maps ⋮ A van Kampen theorem for equivariant fundamental groupoids ⋮ Local-to-global spectral sequences for the cohomology of diagrams ⋮ Equivariant cohomology with local coefficients ⋮ Algebraic classification of equivariant homotopy 2-types. I ⋮ The mod 2 cohomology rings of congruence subgroups in the Bianchi groups ⋮ Unnamed Item ⋮ An open-closed cobordism category with background space ⋮ Homological stability for symmetric complements ⋮ The equivariant Serre spectral sequence as an application of a spectral sequence of Spanier ⋮ On the equivariant \(2\)-type of a \(G\)-space ⋮ Some finiteness results for groups of automorphisms of manifolds ⋮ A full and faithful nerve for 2-categories

Cites Work

• Unnamed Item
• Unnamed Item
• Homologie nicht-additiver Funktoren. Anwendungen
• Categories and cohomology theories
• Equivariant cohomology theories
• Singuläre Definition der äquivarianten Bredon Homologie
• Sur quelques points d'algèbre homologique
• Some Functorial Constructions on G-Spaces
• Systems of Fixed Point Sets
• Higher algebraic K-theory: I
• Homotopy colimits in the category of small categories

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