The squaring operations in the Eilenberg-Moore spectral sequence and the classifying space of an associative H-space. I

DOI10.2977/prims/1195189606zbMath0374.55024OpenAlexW2077944518MaRDI QIDQ1244917

Masamitsu Mori, Mamoru Mimura

Publication date: 1977

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195189606

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Eilenberg-Moore spectral sequences (55T20) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Primary cohomology operations in algebraic topology (55S05)

Related Items (2)

Operations in the homology spectral sequence of a cosimplicial infinite loop space ⋮ A note on Steenrod operations in the Eilenberg-Moore spectral sequence

Cites Work

• Unnamed Item
• Principal quasifibrations and fibre homotopy equivalence of bundles
• On the non-existence of elements of Hopf invariant one
• Cohomology mod 2 of the classifying space of the compact connected Lie group of type E\(_8\)
• On the cohomology mod 2 of the classifying space of the 1-connected exceptional Lie group \(E_7\)
• A polynomial subalgebra of the cohomology of the Steenrod algebra
• Exceptional Lie groups and Steenrod squares
• Homology and fibrations I: Coalgebras, cotensor product and its derived functors
• The bar construction and Abelian H-spaces
• The cohomology of classifying spaces of 𝐻-spaces
• Steenrod Squares in Spectral Sequences. I
• On the Cohomology of Some Hopf Algebras
• Sur L'Homologie et la Cohomologie des Groupes de Lie Compacts Connexes

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