Results 51 to 60 of about 1,637,092 (305)
Inclusion hyperspaces and capacities on Tychonoff spaces: functors and monads [PDF]
The inclusion hyperspace functor, the capacity functor and monads for these functors have been extended from the category of compact Hausdorff spaces to the category of Tychonoff spaces.
Banakh+15 more
core +2 more sources
On galois covering of locally torsionless-finite categories [PDF]
Let $\mathcal{C}$ be a locally support-finite $k$-category with a $G$-action. It is proved that a Galois covering functor $P: \CC \lrt \CC/G$ induces a Galois covering of categories of their torsionless modules. Using this result, we provide a version of
Razieh Vahed
doaj +1 more source
Adjoint relations for the category of local dcpos [PDF]
In this paper, we consider the forgetful functor from the category {bf LDcpo} of local dcpos (respectively, {bf Dcpo} of dcpos) to the category {bf Pos} of posets (respectively, {bf LDcpo} of local dcpos), and study the existence of its left and right ...
Bin Zhao, Jing Lu, Kaiyun Wang
doaj
Induced (E,M)−structures on Topological Categories
In this paper, we describe a convenient categorical structure with respect to a class of monomorphisms M and epimorphisms E for any topological category.
Juan Angoa Amador+2 more
doaj +1 more source
A Lagrangian representation of tangles [PDF]
We construct a functor from the category of oriented tangles in R^3 to the category of Hermitian modules and Lagrangian relations over Z[t,t^{-1}]. This functor extends the Burau representations of the braid groups and its generalization to string links ...
Cimasoni, David, Turaev, Vladimir
core +3 more sources
The augmentation category map induced by exact Lagrangian cobordisms [PDF]
To a Legendrian knot, one can associate an $\mathcal{A}_{\infty}$ category, the augmentation category. An exact Lagrangian cobordism between two Legendrian knots gives a functor of the augmentation categories of the two knots.
Yu Pan
semanticscholar +1 more source
On the category O for rational Cherednik algebras [PDF]
We study the category O of representations of the rational Cherednik algebra A attached to a complex reflection group W. We construct an exact functor, called Knizhnik-Zamolodchikov functor, from O to the category of H-modules, where H is the (finite ...
Arkhipov+18 more
core +3 more sources
Homotopy in functor categories [PDF]
If C is a small category enriched over topological spaces the category 5j c of continuous functors from C into topological spaces admits a family of homotopy theories associated with closed subcategories of C. The categories 'i c, for various C, are connected to one another by a functor calculus analogous to the 0, Hom calculus for modules over rings ...
openaire +1 more source
Serre Functors and Graded Categories
AbstractWe study Serre structures on categories enriched in pivotal monoidal categories, and apply this to study Serre structures on two types of graded k-linear categories: categories with group actions and categories with graded hom spaces. We check that Serre structures are preserved by taking orbit categories and skew group categories, and describe
openaire +4 more sources
Homotopy theory of Moore flows (II)
This paper proves that the q-model structures of Moore flows and of multipointed d-spaces are Quillen equivalent. The main step is the proof that the counit and unit maps of the Quillen adjunction are isomorphisms on the q-cofibrant objects (all objects ...
Philippe Gaucher
doaj