Results 21 to 30 of about 1,689,750 (280)
The function ring functors of pointfree topology revisited [PDF]
Categories and General Algebraic Structures with Applications, 2019 This paper establishes two new connections between the familiar function ring functor ${\mathfrak R}$ on the category ${\bf CRFrm}$ of completely regular frames and the category {\bf CR}${\mathbf \sigma}${\bf Frm} of completely regular $\sigma$-frames as
Bernhard Banaschewski
doaj +1 more source
A categorical characterization of relative entropy on standard Borel spaces [PDF]
Logical 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
Complexity of Grammar Induction for Quantum Types [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 Most categorical models of meaning use a functor from the syntactic category to the semantic category. When semantic information is available, the problem of grammar induction can therefore be defined as finding preimages of the semantic types under this
Antonin Delpeuch
doaj +1 more source
On Extension Of Functors [PDF]
, 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
Forum 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
On the Frobenius functor for symmetric tensor categories in positive characteristic [PDF]
, 2019 We develop a theory of Frobenius functors for symmetric tensor categories (STC) 𝒞 {\mathcal{C}} over a field 𝒌 {\boldsymbol{k}} of characteristic p, and give its applications to classification of such categories.
P. Etingof, V. Ostrik
semanticscholar +1 more source
Functors Induced by Cauchy Extension of C$^ast$-algebras [PDF]
Sahand 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
N-complexes as functors, amplitude cohomology and fusion rules [PDF]
, 2006 We consider N-complexes as functors over an appropriate linear category in order to show first that the Krull-Schmidt Theorem holds, then to prove that amplitude cohomology only vanishes on injective functors providing a well defined functor on the ...
A. Connes +20 more
core +6 more sources
Sheaves that fail to represent matrix rings [PDF]
, 2014 There are two fundamental obstructions to representing noncommutative rings via sheaves. First, there is no subcanonical coverage on the opposite of the category of rings that includes all covering families in the big Zariski site.
Reyes, Manuel L.
core +1 more source
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 +2 more sources