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A model of Adams-Hilton type for fiber squares

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Publication:797873
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zbMath0546.55025MaRDI QIDQ797873

David J. Anick

Publication date: 1985

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


zbMATH Keywords

Eilenberg-Moore spectral sequenceAdams-Hilton model of chain complex of loop space induced fibrationscharacteristic zero cohomologyfree loop space on any formal space


Mathematics Subject Classification ID

Loop spaces (55P35) Chain complexes in algebraic topology (55U15) Fiber spaces in algebraic topology (55R05) Eilenberg-Moore spectral sequences (55T20)


Related Items

Module d'holonomie d'une fibration ⋮ Hopf Algebras up to Homotopy ⋮ The Borel cohomology of the loop space of a homogeneous space ⋮ The Adams-Hilton model for a fibration over a sphere ⋮ Smooth Maps, Pullback Path Spaces, Connections, and Torsions ⋮ Obstructions to the section problem in fibre bundles ⋮ The cohomology of a pull-back on \({\mathbb K}\)-formal spaces ⋮ On the Betti number of the space of invariant paths on the space whose cohomology is the exterior algebra with two generators ⋮ Hochschild homology criteria for trivial algebra structures



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