On the Betti number of the space of invariant paths on the space whose cohomology is the exterior algebra with two generators

DOI10.1016/S0166-8641(01)00266-8zbMath1020.55003MaRDI QIDQ1862080

Katsuhiko Kuribayashi

Publication date: 10 March 2003

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

zbMATH Keywords

closed geodesiccobar type Eilenberg-Moore spectral sequencesisometry invariant geodesicsspace of invariant paths

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Global differential geometry (53C99) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Eilenberg-Moore spectral sequences (55T20) Applications of Eilenberg-Moore spectral sequences (57T35)

Related Items (1)

The cohomology of a pull-back on \({\mathbb K}\)-formal spaces

Cites Work

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• The Eilenberg-Moore spectral sequence and strongly homotopy multiplicative maps
• The cohomology of a pull-back on \({\mathbb K}\)-formal spaces
• On the Free Loop Space of Homogeneous Spaces
• Homological Algebra and the Eilenberg-Moore Spectral Sequence

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