Results 21 to 30 of about 96,536 (270)
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
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A categorical characterization of relative entropy on standard Borel spaces [PDF]
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]
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
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On Extension Of Functors [PDF]
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]
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]
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]
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]
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
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
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