Spectral sequence constructors in algebra and topology

DOI10.1090/memo/0317zbMath0557.18006OpenAlexW2088617787MaRDI QIDQ3222351

Donald W. Barnes

Publication date: 1985

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0317

zbMATH Keywords

spectral sequenceHopf algebrafibrationsheaf cohomologyuniqueness theoremsSerre spectral sequenceLeray spectral sequencehomology with local coefficientsbar constructionsacyclic modelsfiltered chain complexes

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Sheaf cohomology in algebraic topology (55N30) Chain complexes (category-theoretic aspects), dg categories (18G35) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Serre spectral sequences (55T10)

Related Items (12)

On the spectral sequence constructors of Guichardet and Stefan ⋮ On Carlsson's spectral sequence ⋮ Support varieties and representation types for basic classical Lie superalgebras ⋮ Rational cohomology of the free loop space of a simply connected 4-manifold ⋮ Spectral sequences à la Hochschild-Serre for crossed products of algebras and of groups ⋮ Representations and cohomology for Frobenius-Lusztig kernels ⋮ Cohomology for infinitesimal unipotent algebraic and quantum groups. ⋮ Cohomology rings for quantized enveloping algebras ⋮ On the length of the spectral sequence of a Lie algebra extension. II ⋮ The Simplicial Bundle of a CW Fibration ⋮ Complexity of representations of quantised function algebras and representation type ⋮ On the length of the spectral sequence of a Lie algebra extension

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