J 2023

A skew approach to enrichment for Gray-categories

BOURKE, John Denis and Gabriele LOBBIA

Basic information

Original name

A skew approach to enrichment for Gray-categories

Authors

BOURKE, John Denis (372 Ireland, guarantor, belonging to the institution) and Gabriele LOBBIA (380 Italy, belonging to the institution)

Edition

Advances in Mathematics, Elsevier, 2023, 0001-8708

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 1.700 in 2022

RIV identification code

RIV/00216224:14310/23:00134332

Organization unit

Faculty of Science

UT WoS

001111350500001

Keywords in English

Skew monoidal category; Enriched category; Gray-category

Tags

Tags

International impact, Reviewed
Změněno: 20/12/2023 11:00, Mgr. Marie Šípková, DiS.

Abstract

V originále

It is well known that the category of Gray-categories does not admit a monoidal biclosed structure that models weak higher-dimensional transformations. In this paper, the first of a series on the topic, we describe several skew monoidal closed structures on the category of Gray-categories, one of which captures higher lax transformations, and another which models higher pseudo-transformations.

Links

GA22-02964S, research and development project
Name: Obohacené kategorie a jejich aplikace (Acronym: ECATA)
Investor: Czech Science Foundation