Zobrazeno 1 - 10
of 185
pro vyhledávání: '"18D99"'
Autor:
Capucci, Matteo, Myers, David Jaz
We introduce contextads and the Ctx construction, unifying various structures and constructions in category theory dealing with context and contextful arrows -- comonads and their Kleisli construction, actegories and their Para construction, adequate
Externí odkaz:
http://arxiv.org/abs/2410.21889
Autor:
Wang, Kai, Zhang, Dexue
The notion of bounded ideals is introduced for quasi-metric spaces. Such ideals give rise to a monad, the bounded ideal monad, on the category of quasi-metric spaces and non-expansive maps. Algebras of this monad are metric version of local dcpos of
Externí odkaz:
http://arxiv.org/abs/2410.04674
Autor:
Pask, David
We introduce a new family of higher-rank graphs, whose construction was inspired by the graphical techniques of Lambek \cite{Lambek} and Johnstone \cite{Johnstone} used for monoid and category emedding results. We show that they are planar $k$-trees
Externí odkaz:
http://arxiv.org/abs/2407.14048
Autor:
Sergeant-Perthuis, Grégoire
In this document, we aim to gather various results related to a compositional/categorical approach to rigorous Statistical Mechanics. Rigorous Statistical Mechanics is centered on the mathematical study of statistical systems. Central concepts in thi
Externí odkaz:
http://arxiv.org/abs/2403.16104
We show that the C*-algebra of a row-finite source-free k-graph is Rieffel-Morita equivalent to a crossed product of an AF algebra by the fundamental group of the k-graph. When the k-graph embeds in its fundamental groupoid, this AF algebra is a Fell
Externí odkaz:
http://arxiv.org/abs/2403.01337
Autor:
Calderón, J. Miguel
In this article, we describe the lattice of ideals of some Green biset functors. We consider Green biset functors which satisfy that each evaluation is a finite dimensional split semisimple commutative algebra and use the idempotents in these evaluat
Externí odkaz:
http://arxiv.org/abs/2402.17053
Autor:
Adamek, Jiri
Classical varieties were characterized by Lawvere as the categories with effective congruences and a varietal generator: an abstractly finite regular generator which is regularly projective (its hom-functor preserves regular epimorphisms). We charact
Externí odkaz:
http://arxiv.org/abs/2402.14662
Autor:
Adamek, Jiri
Following ideas of Lawvere and Linton we prove that classical varieties are precisely the exact categories with a varietal generator. This means a strong generator which is abstractly finite and regularly projective. An analogous characterization of
Externí odkaz:
http://arxiv.org/abs/2402.14557
Autor:
Giraudo, Samuele
Publikováno v:
S\'eminaire Lotharingien de Combinatoire, B79h, 2023
A complete study of an operad $\mathrm{NC} \mathcal{M}$ of noncrossing configurations of chords introduced in previous work of the author is performed. This operad is defined on the linear span of all noncrossing $\mathcal{M}$-cliques. These are nonc
Externí odkaz:
http://arxiv.org/abs/2402.01500
A Hopf monad, in the sense of Brugui\`eres, Lack, and Virelizier, is a special kind of monad that can be defined for any monoidal category. In this note, we study Hopf monads in the case of a category with finite biproducts, seen as a symmetric monoi
Externí odkaz:
http://arxiv.org/abs/2305.16667