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Operads, Algebras and Modules in General Model Categories
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In this paper we develop the theory of operads, algebras and modules in cofibrantly generated symmetric monoidal model categories. We give J-semi model strucures, which are a slightly weaker version of model structures, for operads and algebras and model structures for modules. In a second part we develop the thoery of S-modules of [EKMM]., which allows a general homotopy theory for commutative algebras and pseudo unital symmetric monoidal categories of modules over them. Finally we prove a base change and projection formula.
Forward citations
Cited by 2 Pith papers
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Homotopy theory of equivariant operads with fixed colors
Fixed-color equivariant simplicial operads admit model structures whose weak equivalences are detected by graph subgroups or by any chosen (G,Sigma)-family of subgroups.
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Mapping spaces between operads in relation to bimodules
Establishes fiber sequence relations between mapping spaces of enriched operads and their bimodules for simplicial and dg settings.
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