Results 31 to 40 of about 710,004 (69)

Nuclei of categories with tensor products [PDF]

arXiv, 2007
Following the analogy between algebras (monoids) and monoidal categories the construction of nucleus for non-associative algebras is simulated on the categorical level. Nuclei of categories of modules are considered as an example.
arxiv  

Hopf algebras and finite tensor categories in conformal field theory [PDF]

, 2010
In conformal field theory the understanding of correlation functions can be divided into two distinct conceptual levels: The analytic properties of the correlators endow the representation categories of the underlying chiral symmetry algebras with ...
Fuchs, Jurgen, Schweigert, Christoph
core  

Middle-Four Maps and Net Categories [PDF]

arXiv, 2009
We briefly relate the existence of a middle-four interchange map in a category with two monoidal structures, to the standard Cockett and Seely notion of a weakly distributive category.
arxiv  

Weights for Objects of Monoids

, 2013
The main objective of the paper is to define the construction of the object of monoids, over a monoidal category object in any 2-category with finite products, as a weighted limit.
Sienkiewicz, Łukasz, Zawadowski, Marek
core  

Barr's Embedding Theorem for Enriched Categories [PDF]

arXiv, 2009
We generalize Barr's embedding theorem for regular categories to the context of enriched categories.
arxiv  

Adelman's Abelianisation of an Additive Category [PDF]

arXiv, 2019
This Bachelor's thesis studies Adelman's construction of the universal abelian category of an additive category. It furthermore extends the construction such that it also applies to transformations between additive functors.
arxiv  

Higher Topos Theory [PDF]

, 2008
This purpose of this book is twofold: to provide a general introduction to higher category theory (using the formalism of "quasicategories" or "weak Kan complexes"), and to apply this theory to the study of higher versions of Grothendieck topoi.
Lurie, Jacob
core  

Elementwise semantics in categories with pull-backs [PDF]

arXiv, 2020
We extend the use of ("Kripke-Joyal")- reasoning in categories admitting pull-backs. The aim is to give a theory of jets in this context.
arxiv  

Convergence and quantale-enriched categories [PDF]

, 2017
Generalising Nachbin's theory of "topology and order", in this paper we continue the study of quantale-enriched categories equipped with a compact Hausdorff topology.
Hofmann, Dirk, Reis, Carla
core   +2 more sources

The Karoubi envelope and weak idempotent completion of an extriangulated category [PDF]

arXiv, 2020
We show that the idempotent completion and weak idempotent completion of an extriangulated category are also extriangulated.
arxiv