Bar and cobar constructions. I

DOI10.1016/0022-4049(84)90005-7zbMath0542.57036OpenAlexW2060711730MaRDI QIDQ795392

Jean-Pierre Meyer

Publication date: 1984

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(84)90005-7

zbMATH Keywords

bar constructioncobar constructiongeometric realizationhomotopy limitshomotopy colimits521.57027categories with homotopy

Mathematics Subject Classification ID

Bar and cobar constructions (57T30) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)

Related Items

Cosimplicial Homotopies, Spaces of maps into classifying spaces for equivariant crossed complexes, Homotopy coherent category theory and \(A_\infty\)-structures in monoidal categories, Categorical aspects of equivariant homotopy, Equivariant iterated loop space theory and permutative \(G\)-categories, Equivariant homotopy equivalence of homotopy colimits of \(G\)-functors, Homotopy coherent category theory, Frobenius and the derived centers of algebraic theories, Modules of topological spaces, applications to homotopy limits and \(E_ \infty\) structures, Homotopy theory of nonsymmetric operads, Bar and cobar constructions. II, Unnamed Item, The linearity of fixed point invariants, Unnamed Item, Contractible simplicial objects, Unnamed Item, Equivariant homotopy classification, The 2-category theory of quasi-categories, Mappings of bar constructions

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