Results 51 to 60 of about 1,625,403 (282)
Adjoint relations for the category of local dcpos [PDF]
Categories and General Algebraic Structures with Applications, 2017 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
Tambarization of a Mackey functor and its application to the Witt-Burnside construction [PDF]
, 2010 For an arbitrary group $G$, a (semi-)Mackey functor is a pair of covariant and contravariant functors from the category of $G$-sets, and is regarded as a $G$-bivariant analog of a commutative (semi-)group. In this view, a $G$-bivariant analog of a (semi-)
Nakaoka, Hiroyuki
core +2 more sources
A Lagrangian representation of tangles [PDF]
, 2004 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 +4 more sources
Homotopy in functor categories [PDF]
Transactions of the American Mathematical Society, 1982 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
Algebras and Representation Theory, 2022 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
The augmentation category map induced by exact Lagrangian cobordisms [PDF]
, 2016 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
Homotopy theory of Moore flows (II)
Extracta Mathematicae, 2021 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
Induced (E,M)−structures on Topological Categories
Revista Integración, 2021 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
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The family Floer functor is faithful [PDF]
, 2014 Family Floer theory yields a functor from the Fukaya category of a symplectic manifold admitting a Lagrangian torus fibration to a (twisted) category of perfect complexes on the mirror rigid analytic space.
M. Abouzaid
semanticscholar +1 more source
Forum of Mathematics, SigmaWe introduce a diagrammatic monoidal category, the spin Brauer category, that plays the same role for the spin and pin groups as the Brauer category does for the orthogonal groups.
Peter J. McNamara, Alistair Savage
doaj +1 more source