Operads, Algebras and Modules in General Model Categories

Details Operads, Algebras and Modules in General Model Categories Operads, Algebras and Modules in General Model Categories

2001-01-11

arxiv.org/abs/math/0101102v1

Mathematics

Algebraic Topology

48 pages, part of PHD thesis

Scientific paper

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.

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