Results 31 to 40 of about 1,637,092 (305)
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
Comparison theorems for Kan, faintly universal and strongly universal derived functors [PDF]
We distinguish between faint, weak, strong and strict localizations of categories at morphism families and show that this framework captures the different types of derived functors that are considered in the literature.
Alisa Govzmann+2 more
doaj
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
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
doaj +1 more source
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
GORENSTEIN PROJECTIVE OBJECTS IN FUNCTOR CATEGORIES [PDF]
Let $k$ be a commutative ring, let ${\mathcal{C}}$ be a small, $k$-linear, Hom-finite, locally bounded category, and let ${\mathcal{B}}$ be a $k$-linear abelian category. We construct a Frobenius exact subcategory ${\mathcal{G}}{\mathcal{P}}({\mathcal{G}}
Sondre Kvamme
semanticscholar +1 more source
A COMPUTABLE FUNCTOR FROM GRAPHS TO FIELDS [PDF]
Fried and Kollár constructed a fully faithful functor from the category of graphs to the category of fields. We give a new construction of such a functor and use it to resolve a longstanding open problem in computable model theory, by showing that for ...
Russell G. Miller+3 more
semanticscholar +1 more source
Probability measure monad on the category of ultrametric spaces
The set of all probability measures with compact support on an ultrametric space can be endowed with a natural ultrametric. We show that the functor of probability measures with finite supports (respectively compact supports) forms a monad in the ...
O.B. Hubal, M.M. Zarichnyi
doaj +1 more source