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@article{1701816,
author = {Bourke, John Denis},
article_location = {Amsterdam},
article_number = {3},
doi = {http://dx.doi.org/10.1016/j.jpaa.2020.106519},
keywords = {Accessible category; 2-category; Pseudomorphism},
language = {eng},
issn = {0022-4049},
journal = {Journal of Pure and Applied Algebra},
title = {Accessible aspects of 2-category theory},
url = {https://doi.org/10.1016/j.jpaa.2020.106519},
volume = {225},
year = {2021}
}
TY - JOUR
ID - 1701816
AU - Bourke, John Denis
PY - 2021
TI - Accessible aspects of 2-category theory
JF - Journal of Pure and Applied Algebra
VL - 225
IS - 3
SP - 1-43
EP - 1-43
PB - Elsevier
SN - 00224049
KW - Accessible category
KW - 2-category
KW - Pseudomorphism
UR - https://doi.org/10.1016/j.jpaa.2020.106519
L2 - https://doi.org/10.1016/j.jpaa.2020.106519
N2 - Categorical structures and their pseudomaps rarely form locally presentable 2-categories in the sense of Cat-enriched category theory. However, we show that if the categorical structure in question is sufficiently weak (such as the structure of monoidal, but not strict monoidal, categories) then the 2-category in question is accessible. Furthermore, we explore the flexible limits that such 2-categories possess and their interaction with filtered colimits.
ER -
BOURKE, John Denis. Accessible aspects of 2-category theory. \textit{Journal of Pure and Applied Algebra}. Amsterdam: Elsevier, 2021, roč.~225, č.~3, s.~1-43. ISSN~0022-4049. Dostupné z: https://dx.doi.org/10.1016/j.jpaa.2020.106519.
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