Coherence, Homotopy and 2-Theories
范畴论
2007-05-23 v1 量子代数
摘要
2-Theories are a canonical way of describing categories with extra structure. 2-theory-morphisms are used when discussing how one structure can be replaced with another structure. This is central to categorical coherence theory. We place a Quillen model category structure on the category of 2-theories and 2-theory-morphisms where the weak equivalences are biequivalences of 2-theories. A biequivalence of 2-theories (Morita equivalence) induces and is induced by a biequivalence of 2-categories of algebras. This model category structure allows one to talk of the homotopy of 2-theories and discuss the universal properties of coherence.
引用
@article{arxiv.math/0007033,
title = {Coherence, Homotopy and 2-Theories},
author = {Noson S. Yanofsky},
journal= {arXiv preprint arXiv:math/0007033},
year = {2007}
}
备注
32 pages; XY-Pic