中文

Sheafifiable homotopy model categories

范畴论 2009-11-07 v1 代数拓扑

摘要

If a Quillen model category can be specified using a certain logical syntax (intuitively, ``is algebraic/combinatorial enough''), so that it can be defined in any category of sheaves, then the satisfaction of Quillen's axioms over any site is a purely formal consequence of their being satisfied over the category of sets. Such data give rise to a functor from the category of topoi and geometric morphisms to Quillen model categories and Quillen adjunctions.

关键词

引用

@article{arxiv.math/0102087,
  title  = {Sheafifiable homotopy model categories},
  author = {Tibor Beke},
  journal= {arXiv preprint arXiv:math/0102087},
  year   = {2009}
}

备注

30 pages