A model of the Borel construction on the free loopspace

zbMath1345.55002MaRDI QIDQ294154

Jan Spaliński

Publication date: 9 June 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1461781788

zbMATH Keywords

simplicial spacefree loop spaceBorel constructioncyclic bar constructioncyclic spaceJames model

Mathematics Subject Classification ID

Loop spaces (55P35) Bar and cobar constructions (57T30) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Equivariant homotopy theory in algebraic topology (55P91)

Cites Work

• Cyclic homology, derivations, and the free loopspace
• The cyclic groups and the free loop space
• Cyclic homology and equivariant homology
• A convenient category of topological spaces
• Reduced product spaces
• On Spaces Having the Homotopy Type of a CW-Complex
• Seminar on Transformation Groups. (AM-46)
• The Homotopy Theory of Cyclic Sets
• HOMOTOPY QUOTIENTS OF MAPPING SPACES AND THEIR STABLE SPLITTING
• Crossed Simplicial Groups and their Associated Homology
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