Results 31 to 40 of about 4,518,702 (324)
Categories of quantum liquids I
We develop a mathematical theory of separable higher categories based on Gaiotto and Johnson-Freyd’s work on condensation completion. Based on this theory, we prove some fundamental results on E m -multi-fusion higher categories and their higher centers.
Liang Kong, Hao Zheng
doaj +1 more source
Categories of holomorphic line bundles on higher dimensional noncommutative complex tori [PDF]
We construct explicitly noncommutative deformations of categories of holomorphic line bundles over higher dimensional tori. Our basic tools are Heisenberg modules over noncommutative tori and complex/holomorphic structures on them introduced by A ...
Hiroshige Kajiura +3 more
core +3 more sources
Operads of higher transformations for globular sets and for higher magmas [PDF]
In this article we discuss examples of fractal $omega$-operads. Thus we show that there is an $omega$-operadic approach to explain existence of the globular set of globular setsfootnote{Globular sets are also called $omega$-graphs by the French ...
Camell Kachour
doaj
This paper offers the first characterization of the ethnobiological taxonomic system used by the Kakataibo people (Pano, Peru) to classify and organize their knowledge about nature. The study follows the six ranks proposed for folk taxonomies (see Berlin
Roberto Zariquiey
doaj +1 more source
Computing Higher Frobenius-Schur Indicators in Fusion Categories Constructed from Inclusions of Finite Groups [PDF]
We consider a subclass of the class of group-theoretical fusion categories: To every finite group $G$ and subgroup $H$ one can associate the category of $G$-graded vector spaces with a two-sided $H$-action compatible with the grading. We derive a formula
Schauenburg, Peter
core +4 more sources
$omega$-Operads of coendomorphisms and fractal $omega$-operads for higher structures [PDF]
In this article we introduce the notion of textit{Fractal $omega$-operad} emerging from a natural $omega$-operad associated to any coglobular object in the category of higher operads in Batanin's sense, which in fact is a coendomorphism $omega$-operads.
Camell Kachour
doaj
Background In low- and middle-income countries (LMICs), low levels of formal maternal educational are positively associated with breastfeeding whereas the reverse is true among women with higher levels of formal education.
Paulo A. R. Neves +5 more
doaj +1 more source
The univalence axiom for elegant Reedy presheaves [PDF]
We show that Voevodsky's univalence axiom for intensional type theory is valid in categories of simplicial presheaves on elegant Reedy categories. In addition to diagrams on inverse categories, as considered in previous work of the author, this includes ...
Shulman, Michael
core +1 more source
Steps toward the weak higher category of weak higher categories in the globular setting [PDF]
We start this article by rebuilding higher operads of weak higher transformations, and correct those in cite{Cambat}. As in cite{Cambat} we propose an operadic approach for weak higher $n$-transformations, for each $ninmathbb{N}$, where such weak higher $
Camell Kachour
doaj
Just as Boolean rules define Boolean categories, the Boolean operators define higher-order Boolean categories referred to as modal categories. We examine the similarity order between these categories and the standard category of logical identity (i.e ...
Vigo , Dr. Ronaldo
core +1 more source

