Fiches

Additive Grothendieck pretopologies and presentations of tensor categories

Contenu

Titre

Additive Grothendieck pretopologies and presentations of tensor categories

Date de soumission

25 mai 2022, 05:13:56 +00:00

Créateur

Kevin Coulembier

Est référencé par

SEF9QE9V

Résumé

We define a notion on preadditive categories which plays a role similar to the notion of a Grothendieck pretopology on an unenriched category. Each such additive pretopology defines an additive Grothendieck topology and suffices to define the sheaf category. This new notion allows us to study the noetherian and subcanonical nature of topologies, to describe easily the meet of a family of topologies and to identify useful universal properties of the sheaf category. As our main application we derive in which ways one can present a tensor category and show that such presentations lead to remarkable universal properties.

Numéro

arXiv:2011.02137

Date

2021-04-20

uri

http://arxiv.org/abs/2011.02137

Source

arXiv.org

is compiled by

Lucky Semiosis

is in semantic relation with

Mathematics

Category Theory

Complexité

269

Date de modification

8 septembre 2023, 06:54:12 +00:00

Détails de la complexité

Physique,1,,,,,25,25

Physique,2,,,,,21,42

Actant,2,,,,,2,4

Concept,1,,,,,24,24

Concept,2,,,,,21,42

Rapport,1,1,Physique,Concept,properties,24,24

Rapport,1,1,Physique,Physique,values,24,24

Rapport,1,1,Physique,Actant,dcterms:creator,1,1

Rapport,2,2,Actant,Concept,properties,9,18

Rapport,2,2,Actant,Physique,values,9,18

Rapport,1,1,Physique,Actant,cito:isCompiledBy,1,1

Rapport,1,1,Physique,Concept,skos:semanticRelation,2,2

Rapport,2,2,Concept,Concept,properties,6,12

Rapport,2,2,Concept,Physique,values,6,12

Rapport,1,1,Physique,Physique,media,2,2

Rapport,2,2,Physique,Concept,properties,4,8

Rapport,2,2,Physique,Physique,values,4,8

Rapport,1,1,Physique,Physique,uri,2,2

Totaux de la complexité

Physique,2,1,2,46,67

Actant,1,2,2,2,4

Concept,2,1,2,45,66

Rapport,13,1,2,94,132

Existence,18,1,2,187,269

Collections

Zotero

Médias

arXiv.org Snapshot

arXiv Fulltext PDF