Results 21 to 30 of about 96,536 (270)

Prismatic Dieudonné Theory

open access: yesForum of Mathematics, Pi, 2023
We define, for each quasisyntomic ring R (in the sense of Bhatt et al., Publ. Math. IHES 129 (2019), 199–310), a category $\mathrm {DM}^{\mathrm {adm}}(R)$ of admissible prismatic Dieudonné crystals over R and a functor from p-divisible groups ...
Johannes Anschütz   +1 more
doaj   +1 more source

A categorical characterization of relative entropy on standard Borel spaces [PDF]

open access: yesLogical Methods in Computer Science, 2023
We give a categorical treatment, in the spirit of Baez and Fritz, of relative entropy for probability distributions defined on standard Borel spaces. We define a category suitable for reasoning about statistical inference on standard Borel spaces.
Nicolas Gagne, Prakash Panangaden
doaj   +1 more source

Functors Induced by Cauchy Extension of C$^ast$-algebras [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
In this paper, we give three functors $mathfrak{P}$, $[cdot]_K$ and $mathfrak{F}$ on the category of C$^ast$-algebras. The functor $mathfrak{P}$ assigns to each C$^ast$-algebra $mathcal{A}$ a pre-C$^ast$-algebra $mathfrak{P}(mathcal{A})$ with completion $
Kourosh Nourouzi, Ali Reza
doaj   +1 more source

On Extension Of Functors [PDF]

open access: yes, 2011
A.Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the ...
Karchevska, Lesya, Radul, Taras
core   +2 more sources

Derived equivalences of functor categories [PDF]

open access: greenJournal of Pure and Applied Algebra, 2015
Let $\Mod \CS$ denote the category of $\CS$-modules, where $\CS$ is a small category. In the first part of this paper, we provide a version of Rickard's theorem on derived equivalence of rings for $\Mod \CS$. This will have several interesting applications.
Javad Asadollahi   +2 more
openalex   +6 more sources

AF-algebras and topology of mapping tori [PDF]

open access: yes, 2015
A covariant functor from the category of mapping tori to a category of AF-algebras is constructed; the functor takes continuous maps between such manifolds to stable homomorphisms between the corresponding AF-algebras.
D. V. Anosov   +10 more
core   +2 more sources

Differential Tannakian Categories [PDF]

open access: yes, 2008
We define a differential Tannakian category and show that under a natural assumption it has a fibre functor. If in addition this category is neutral, that is, the target category for the fibre functor are finite dimensional vector spaces over the base ...
Alexey Ovchinnikov   +30 more
core   +4 more sources

Cyclotomic double affine Hecke algebras and affine parabolic category O, I [PDF]

open access: yes, 2010
Using the orbifold KZ connection we construct a functor from an affine parabolic category O of type A to the category O of a cyclotomic rational double affine Hecke algebra.
Varagnolo, M., Vasserot, E.
core   +2 more sources

A completion functor for Cauchy groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1981
A completion functor is constructed on the category of completely normal Cauchy groups and Cauchy-continuous homomorphisms. A competion functor is also obtained for a corresponding category of convergence groups.
R. Fric, D. C. Kent
doaj   +1 more source

Topological field theories and symmetry protected topological phases with fusion category symmetries

open access: yesJournal of High Energy Physics, 2021
Fusion category symmetries are finite symmetries in 1+1 dimensions described by unitary fusion categories. We classify 1+1d time-reversal invariant bosonic symmetry protected topological (SPT) phases with fusion category symmetry by using topological ...
Kansei Inamura
doaj   +1 more source

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