搜索结果: 1-7 共查到“数理逻辑与数学基础 Categories”相关记录7条 . 查询时间(0.078 秒)
Cell 2-representations of finitary 2-categories
Cell 2-representations finitary 2-categories
2010/11/19
We study 2-representations of finitary 2-categories with involution and adjunctions by functors on module categories over finite dimensional algebras. In particular, we define, construct and describe ...
Relative categories: Another model for the homotopy theory of homotopy theories
model homotopy theory
2010/11/12
We lift Charles Rezk's complete Segal space model structure on the category of simplicial spaces to a Quillen equivalent one on the category of relative categories.
Models for $(\infty, n)$-categories and the cobordism hypothesis
the cobordism hypothesis math
2010/11/8
In this paper we introduce the models for $(\infty, n)$-categories which have been developed to date, as well as the comparisons between them that are known and conjectured. We review the role of $(\i...
We define model structures on exact categories which we call exact model structures. We look at the relationship between these model structures and cotorsion pairs on the exact category. In particular...
Grothendieck $\infty$-groupoids, and still another definition of $\infty$-categories
1-groupoid 1-category homotopy type weak factorization system
2010/12/6
The aim of this paper is to present a simplified version of the notion of 1-groupoid developed by Grothendieck in “Pursuing Stacks” and to introduce a definition of 1-categories inspired by Grothendie...
Failure of Brown representability in derived categories
Brown representability derived categories
2010/10/29
Let T be a triangulated category with coproducts, C the full subcategory of compact objects in T. If T is the homotopy category of spectra, Adams proved the following in [Adams71]: All contravariant ...
It is becoming increasingly difficult for geometers and even physicists to avoid papers containing phrases like `triangulated category', not to mention derived functors. I will give some motivation f...