Model category structures in bifibred categories
نویسندگان
چکیده
منابع مشابه
Model structures on the category of small double categories
In this paper we obtain several model structures on DblCat, the category of small double categories. Our model structures have three sources. We first transfer across a categorificationnerve adjunction. Secondly, we view double categories as internal categories in Cat and take as our weak equivalences various internal equivalences defined via Grothendieck topologies. Thirdly, DblCat inherits a ...
متن کاملDetermining Closed Model Category Structures
Closed model categories are a general framework introduced by Quillen [15] in which one can do homotopy theory. An alternative framework has been developed by Baues [2]. Putting a closed model structure on a category not only allows one to use techniques of homotopy theory to study it but also allows one to better understand the category through the concepts and constructions that come with the...
متن کاملModel Structures on pro - Categories
We introduce a notion of a ltered model structure and use this notion to produce various model structures on pro-categories. This framework generalizes the examples of [13], [15], and [16]. We give several examples, including a homotopy theory for G-spaces, where G is a pronite group. The class of weak equivalences is an approximation to the class of underlying weak
متن کاملCategory of a ∞ -categories
We define natural A ∞ -transformations and construct A ∞ -category of A ∞ -functors. The notion of non-strict units in an A ∞ -category is introduced. The 2-category of (unital) A ∞ -categories, (unital) functors and transformations is described. The study of higher homotopy associativity conditions for topological spaces began with Stasheff’s article [Sta63, I]. In a sequel to this paper [Sta6...
متن کاملModel Structures on Commutative Monoids in General Model Categories
We provide conditions on a monoidal model categoryM so that the category of commutative monoids in M inherits a model structure from M in which a map is a weak equivalence or fibration if and only if it is so inM. We then investigate properties of cofibrations of commutative monoids, rectification between E∞-algebras and commutative monoids, the relationship between commutative monoids and mono...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1994
ISSN: 0022-4049
DOI: 10.1016/0022-4049(94)90074-4