Operations in the second quadrant Eilenberg-Moore spectral sequence

DOI10.1016/0022-4049(83)90016-6zbMath0526.55023OpenAlexW2036580192MaRDI QIDQ594430

Anthony Bahri

Publication date: 1983

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(83)90016-6

zbMATH Keywords

bar constructionEilenberg-Moore spectral sequenceDyer-Lashof operationscollapsing of first-quadrant Eilenberg-Moore spectral sequencefibre square of simply-connected infinite loop spacesmod.p cohomologyoperations in the second quadrant Eilenberg-Moore spectral sequence

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Dyer-Lashof operations (55S12) Eilenberg-Moore spectral sequences (55T20) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Related Items (2)

Operations in the homology spectral sequence of a cosimplicial infinite loop space ⋮ Operations and Spectral Sequences. I

Cites Work

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• Homology operations in the Eilenberg-Moore spectral sequence
• On the action of the Dyer-Lashof algebra in \(H*(G)\)
• The homology of iterated loop spaces
• Homotopy commutativity and the Moore spectral sequence
• Homology and fibrations I: Coalgebras, cotensor product and its derived functors
• Lectures on the Eilenberg-Moore spectral sequence
• Steenrod operations in the Eilenberg-Moore spectral sequence
• A Direct Summand in H ∗ (MO 〈8 〉, Z 2 )
• The 𝑚𝑜𝑑2 cohomology structure of certain fibre spaces
• Homological Algebra and the Eilenberg-Moore Spectral Sequence
• Homology of Iterated Loop Spaces

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