A cohomological proof of the torus theorem

DOI10.1007/BF01214746zbMath0563.55007OpenAlexW1971427771MaRDI QIDQ1057537

James P. Lin

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173641

zbMATH Keywords

secondary cohomology operationshomotopy commutative H-spaceshomotopy type of tori

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Secondary and higher cohomology operations in algebraic topology (55S20) Homology and cohomology of (H)-spaces (57T25)

Related Items

Loops of \(H\)-spaces with finitely generated cohomology rings, Higher homotopy commutativity of 𝐻-spaces and the permuto-associahedra, Fake Lie groups and maximal tori. II, Classifying spaces and homotopy sets of axes of pairings, Maps between iterated loop spaces, On the mod p torus theorem of John Hubbuck

Cites Work

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• Two torsion and the loop space conjecture
• Homotopy commutative H-spaces
• On the structure of Hopf algebras
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• Whitney-Cartan product formulae
• Secondary operations in the cohomology of H-spaces
• Steenrod squares and \(H\)-spaces