منابع مشابه
Axiomatic homotopy theory for operads
We give sufficient conditions for the existence of a model structure on operads in an arbitrary symmetric monoidal model category. General invariance properties for homotopy algebras over operads are deduced. Mathematics Subject Classification (2000). Primary 18D50; Secondary 18G55, 55U35.
متن کامل2 2 O ct 2 00 3 Axiomatic homotopy theory for operads
We give sufficient conditions for the existence of a model structure on operads in an arbitrary symmetric monoidal model category. General invariance properties for homotopy algebras over operads are deduced.
متن کامل. A T ] 4 A pr 2 00 3 Axiomatic homotopy theory for operads
We give sufficient conditions for the existence of a model structure on operads in an arbitrary symmetric monoidal model category. General invariance properties for homotopy algebras over operads are deduced.
متن کاملHomotopy Theory of Coalgebras over Operads
This paper constructs model structures on the categories of coalgebras and pointed irreducible coalgebras over an operad whose components are projective, finitely generated in each dimension, and satisfy a condition that allows one to take tensor products with a unit interval. The underlying chain-complex is assumed to be unbounded and the results for bounded coalgebras over an operad are deriv...
متن کاملHomotopy Algebras for Operads
We present a definition of homotopy algebra for an operad, and explore its consequences. The paper should be accessible to topologists, category theorists, and anyone acquainted with operads. After a review of operads and monoidal categories, the definition of homotopy algebra is given. Specifically, suppose that M is a monoidal category in which it makes sense to talk about algebras for some o...
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2003
ISSN: 0010-2571,1420-8946
DOI: 10.1007/s00014-003-0772-y