Limits of small functors
نویسندگان
چکیده
منابع مشابه
Limits of small functors ∗
For a small category K enriched over a suitable monoidal category V , the free completion of K under colimits is the presheaf category [K ,V ]. If K is large, its free completion under colimits is the V -category PK of small presheaves on K , where a presheaf is small if it is a left Kan extension of some presheaf with small domain. We study the existence of limits and of monoidal closed struct...
متن کاملOn the Smoothness of Functors
In this paper we will try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should has.
متن کاملHIGHER LIMITS OF FUNCTORS ON CATEGORIES OF ELEMENTARY ABELIAN p–GROUPS
Recently, certain categories based on elementary abelian p-groups (i.e., finite pgroups of the form E ∼= (Cp)) have played an important role as indexing categories for approximating spaces. The construction of approximations to classifying spaces in [JM], and the realization of a certain Dickson algebra as the cohomology algebra of a space in [DW2], both depended on the computation of higher de...
متن کاملLimits in modified categories of interest
We firstly prove the completeness of the category of crossed modules in a modified category of interest. Afterwards, we define pullback crossed modules and pullback cat objects that are both obtained by pullback diagrams with extra structures on certain arrows. These constructions unify many corresponding results for the cases of groups, commutative algebras and can also be adapted to ...
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: 2007
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2006.10.019