Operads, Algebras and Modules in General Model Categories
代数拓扑
2007-05-23 v1 范畴论
摘要
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.
引用
@article{arxiv.math/0101102,
title = {Operads, Algebras and Modules in General Model Categories},
author = {Markus Spitzweck},
journal= {arXiv preprint arXiv:math/0101102},
year = {2007}
}
备注
48 pages, part of PHD thesis