Detailed Information on Publication Record
2024
Factorization systems and double categories
ŠTĚPÁN, MiloslavBasic information
Original name
Factorization systems and double categories
Authors
ŠTĚPÁN, Miloslav (203 Czech Republic, guarantor, belonging to the institution)
Edition
Theory and Applications of Categories, Mount Allison University, 2024, 1201-561X
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Canada
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 0.500 in 2022
Organization unit
Faculty of Science
UT WoS
001231984000001
Keywords in English
factorization system; double category; lax morphism
Tags
Tags
International impact, Reviewed
Změněno: 17/6/2024 14:16, Mgr. Marie Šípková, DiS.
Abstract
V originále
We show that factorization systems, both strict and orthogonal, can be equivalently described as double categories satisfying certain properties. This provides conceptual reasons for why the category of sets and partial maps or the category of small categories and cofunctors admit orthogonal factorization systems. The theory also gives an explicit description of various lax morphism classifiers and explains why they admit strict factorization systems.
Links
| EF19_073/0016943, research and development project |
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| GA22-02964S, research and development project |
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