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@article{1415225,
author = {Positselski, Leonid and Rosický, Jiří},
article_number = {1},
keywords = {locally presentable categoriy; nearly presentable object; regular factorization; abelian category; complete partial order},
language = {eng},
issn = {1201-561X},
journal = {Theory and Applications of Categories},
title = {Nearly locally presentable categories},
url = {http://www.tac.mta.ca/tac/volumes/33/10/33-10.pdf},
volume = {33},
year = {2018}
}
TY - JOUR
ID - 1415225
AU - Positselski, Leonid - Rosický, Jiří
PY - 2018
TI - Nearly locally presentable categories
JF - Theory and Applications of Categories
VL - 33
IS - 1
SP - 253-264
EP - 253-264
SN - 1201561X
KW - locally presentable categoriy
KW - nearly presentable object
KW - regular factorization
KW - abelian category
KW - complete partial order
UR - http://www.tac.mta.ca/tac/volumes/33/10/33-10.pdf
L2 - http://www.tac.mta.ca/tac/volumes/33/10/33-10.pdf
N2 - We introduce a new class of categories generalizing locally presentable ones. The distinction does not manifest in the abelian case and, assuming Vopěnka's principle, the same happens in the regular case. The category of complete partial orders is the natural example of a nearly locally finitely presentable category which is not locally presentable.
ER -
POSITSELSKI, Leonid a Jiří ROSICKÝ. Nearly locally presentable categories. \textit{Theory and Applications of Categories}. 2018, roč.~33, č.~1, s.~253-264. ISSN~1201-561X.
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