BOURKE, John Denis and Gabriele LOBBIA. A skew approach to enrichment for Gray-categories. Advances in Mathematics. Elsevier, 2023, vol. 434, December 2023, p. 1-92. ISSN 0001-8708. Available from: https://dx.doi.org/10.1016/j.aim.2023.109327.
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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
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 1.700 in 2022
RIV identification code RIV/00216224:14310/23:00134332
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1016/j.aim.2023.109327
UT WoS 001111350500001
Keywords in English Skew monoidal category; Enriched category; Gray-category
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 20/12/2023 11:00.
Abstract
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 projectName: Obohacené kategorie a jejich aplikace (Acronym: ECATA)
Investor: Czech Science Foundation
PrintDisplayed: 21/7/2024 06:02