Cooperads and coalgebras as closed model categories

DOI10.1016/S0022-4049(02)00174-3zbMath1134.18301MaRDI QIDQ1868700

Marc Aubry, David Chataur

Publication date: 28 April 2003

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

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Loop space machines and operads in algebraic topology (55P48)

Related Items (5)

A Quillen model category structure on some categories of comonoids ⋮ The homotopy theory of bialgebras over pairs of operads ⋮ Homotopy theory of homotopy algebras ⋮ Realizing operadic plus-constructions as nullifications ⋮ Model structures for coalgebras

Cites Work

• The localization of spaces with respect to homology
• Koszul duality for operads
• Rational homotopy theory
• Homological algebra of homotopy algebras
• Virtual operad algebras and realization of homotopy types
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