Results 131 to 140 of about 1,642,029 (305)

Bundle functors and fibrations [PDF]

arXiv, 2015
We give an account, in terms of fibered categories and their fibrewise duals, of aspects of the theory of bundle functors and star-bundle functors in differential geometry.
arxiv  

Dg analogues of the Zuckerman functors and the dual Zuckerman functors I

, 2016
We study the category of dg Harish-Chandra modules (over an arbitrary commutative ring) and construct dg analogues of the induction functor, the production functor, the Zuckerman functor and the dual Zuckerman functor.Comment: 38 ...
Hayashi, Takuma
core  

Categorical Green functors arising from group actions on categories [PDF]

arXiv, 2014
In this paper we introduce the notion of a categorical Mackey functor. This categorical notion allows us to obtain new Mackey functors by passing to Quillen's $K$-theory of the corresponding abelian categories. In the case of an action by monoidal autoequivalences on a monoidal category the Mackey functor obtained at the level of Grothendieck rings has
arxiv  

Functors on the category of quasi-fibrations

Topology and its Applications, 2008
AbstractWe consider the following questions: when can we extend a continuous endofunctor on Top the category of topological spaces to a fibrewise continuous endofunctor on Top(2) the category of continuous maps? If this is true, does such fibrewise continuous endofunctor preserve fibrations? In this paper, we define Fib the topological category of cell-
Norio Iwase, Michihiro Sakai
openaire   +2 more sources

Fuzzy TL-uniform spaces

International Journal of Mathematics and Mathematical Sciences, 2006
The main purpose of this paper is to introduce a new structure that is a fuzzy TL-uniform space. We show that our structure generates a fuzzy topological space, precisely, a fuzzy T-locality space.
Khaled A. Hashem, Nehad N. Morsi
doaj   +1 more source

Determinant functors on triangulated categories [PDF]

arXiv, 2006
We study determinant functors which are defined on a triangulated category and take values in a Picard category. The two main results are the existence of a universal determinant functor for every small triangulated category, and a comparison theorem for determinant functors on a triangulated category with a non-degenerate bounded t-structure and ...
arxiv  

Peter Freyd, Abeliwi Categories. An Introduction to the Theory of Functors (Harper and Row, 1964), xi+164 pp., $7.00. [PDF]

, 1966
John Howie
openalex   +1 more source

Relating Translation functor and Jacquet functor via Chan-Wong's comparison functor [PDF]

arXiv
Kei Yuen Chan and Kayue Daniel Wong constructed a functor from the category of Harish-Chandra modules of $\GL(n, \C)$ to the category of modules over graded Hecke algebra $\H_m$ of type A. This functor has several nice properties, such as compatible with parabolic inductions, and preserving standard and irreducible objects.
arxiv  

Abelian categories and definable additive categories [PDF]

arXiv, 2012
We consider three (2-)categories and their (anti-)equivalence. They are the category of small abelian categories and exact functors, the category of definable additive categories and interpretation functors, the category of locally coherent abelian categories and coherent morphisms. These categories link algebra, model theory and "geometry".
arxiv  

Harmonic analysis for functors on categories of Banach spaces of distributions [PDF]

, 1973
Thomas Donaldson
openalex   +1 more source