On the homotopy classification of sections in the free loop fibration

DOI10.1016/0022-4049(94)90147-3zbMath0829.55005OpenAlexW2087709566MaRDI QIDQ1313789

Samson Saneblidze

Publication date: 15 January 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90147-3

zbMATH Keywords

free loop spacefree-loop fibrationperturbed differentialproduct of Eilenberg-MacLane spacesset of sections

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Loop spaces (55P35) Sectioning fiber spaces and bundles in algebraic topology (55S40)

Related Items (1)

Obstructions to the section problem in fibre bundles

Cites Work

• The set of multiplicative predifferentials and the rational cohomology algebra of fibre spaces
• Filtered model of a fibration and rational obstruction theory
• The homology theory of the closed geodesic problem
• Obstructions to homotopy equivalences
• Obstructions to the section problem in fibre bundles
• Algebraic aspects of Chen's twisting cochain
• Twisted tensor products. I
• On the chain-complex of a fibration
• Unnamed Item
• Unnamed Item

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