The type of a torsion free finite loop space

DOI10.1016/0166-8641(91)90025-HzbMath0742.55005OpenAlexW1998814086MaRDI QIDQ1183658

Frank Williams, James P. Lin

Publication date: 28 June 1992

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(91)90025-h

zbMATH Keywords

loop spacehomotopy associativitycohomology operationrational cohomology ringfinite loop spacetypes conjecture

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Sectioning fiber spaces and bundles in algebraic topology (55S40)

Related Items

A finite loop space not rationally equivalent to a compact Lie group, Cup products and finite loop spaces

Cites Work

• Unnamed Item
• On the non-existence of elements of Hopf invariant one
• The rational cohomology of finite loop spaces
• A note on realizing polynomial algebras
• The realization of polynomial algebras as cohomology rings
• Finite H-spaces and algebras over the Steenrod algebra
• Steenrod squares and H-spaces. II
• On the projective plane of an H-space
• The H-Deviation of a Lift
• Higher Order Operations in the Mod 2 Cohomology of Finite H-Spaces
• Homotopy Associativity of H-Spaces. I