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@article{1313109,
author = {Adámek, J. and Rosický, Jiří},
article_location = {Halifax},
article_number = {October},
keywords = {locally presentable category; reflective subcategory; elementary equivalence},
language = {eng},
issn = {1201-561X},
journal = {Theory and Applications of Categories},
title = {On reflective subcategories of locally presentable categories},
url = {http://www.tac.mta.ca/tac/volumes/30/41/30-41abs.html},
volume = {30},
year = {2015}
}
TY - JOUR
ID - 1313109
AU - Adámek, J. - Rosický, Jiří
PY - 2015
TI - On reflective subcategories of locally presentable categories
JF - Theory and Applications of Categories
VL - 30
IS - October
SP - 1306-1318
EP - 1306-1318
SN - 1201561X
KW - locally presentable category
KW - reflective subcategory
KW - elementary equivalence
UR - http://www.tac.mta.ca/tac/volumes/30/41/30-41abs.html
N2 - Are all subcategories of locally finitely presentable categories that are closed under limits and lambda-filtered colimits also locally presentable? For full subcategories the answer is affirmative. Makkai and Pitts proved that in the case lambda=omega the answer is affirmative also for all iso-full subcategories. We discuss a possible generalization of this to an arbitrary lambda.
ER -
ADÁMEK, J. a Jiří ROSICKÝ. On reflective subcategories of locally presentable categories. \textit{Theory and Applications of Categories}. Halifax, 2015, roč.~30, October, s.~1306-1318. ISSN~1201-561X.
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