The realizability of local loop spaces as manifolds

DOI10.1007/S10977-006-0019-YzbMath1110.55005OpenAlexW2035456491MaRDI QIDQ864993

Tilman Bauer, Erik Kjaer Pedersen

Publication date: 13 February 2007

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10977-006-0019-y

zbMATH Keywords

manifoldsurgerylocal loop space

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Loop spaces (55P35) Surgery obstructions, Wall groups (57R67)

Cites Work

• On rationalized H- and co-H-spaces. With an appendix on decomposable H- and co-H-spaces
• The localization of spaces with respect to homology
• Homotopy fixed-point methods for Lie groups and finite loop spaces
• A finite loop space not rationally equivalent to a compact Lie group
• Finite loop spaces are manifolds.
• On \(\pi_ 3\) of finite dimensional \(H\)-spaces
• Groupes d'homotopie et classes de groupes abéliens
• The Browder-Dupont Invariant
• On Homotopy Invariance of the Tangent Bundle I.

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