On the cohomology algebra of a fiber

DOI10.2140/agt.2001.1.719zbMath0981.55006arXivmath/0201134OpenAlexW2062007241MaRDI QIDQ5949800

Luc Menichi

Publication date: 10 December 2001

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201134

zbMATH Keywords

bar constructionHopf algebra up to homotopydivided powers algebrahomotopy fiberloop space homology

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Bar and cobar constructions (57T30) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items (2)

On the negative cyclic homology of \(shc\)-algebras ⋮ The Batalin–Vilkovisky Algebra in the String Topology of Classifying Spaces

Cites Work

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• Twisted tensor models for fibrations
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• Homology and fibrations I: Coalgebras, cotensor product and its derived functors
• Lectures on minimal models
• Loop Spaces of Finite Complexes at Large Primes
• Adams' Cobar Equivalence
• On the theory and applications of differential torsion products
• Hopf Algebras up to Homotopy
• Rational homotopical models and uniqueness
• Homology

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