| LIEBERMAN, Michael, Jiří ROSICKÝ a Sébastien Bernard VASEY. Universal abstract elementary classes and locally multipresentable categories,. Proceedings of the American Mathematical Society. Providence: AMER MATHEMATICAL SOC, 2019, roč. 147, č. 3, s. 1283-1298. ISSN 0002-9939. Dostupné z: https://dx.doi.org/10.1090/proc/14326. |
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@article{1479961,
author = {Lieberman, Michael and Rosický, Jiří and Vasey, Sébastien Bernard},
article_location = {Providence},
article_number = {3},
doi = {http://dx.doi.org/10.1090/proc/14326},
keywords = {abstract elementary class; accessible category; universal class; locally multipresentable category},
language = {eng},
issn = {0002-9939},
journal = {Proceedings of the American Mathematical Society},
title = {Universal abstract elementary classes and locally multipresentable categories,},
url = {https://www.ams.org/journals/proc/2019-147-03/S0002-9939-2018-14326-9/S0002-9939-2018-14326-9.pdf},
volume = {147},
year = {2019}
}
TY - JOUR
ID - 1479961
AU - Lieberman, Michael - Rosický, Jiří - Vasey, Sébastien Bernard
PY - 2019
TI - Universal abstract elementary classes and locally multipresentable categories,
JF - Proceedings of the American Mathematical Society
VL - 147
IS - 3
SP - 1283-1298
EP - 1283-1298
PB - AMER MATHEMATICAL SOC
SN - 00029939
KW - abstract elementary class
KW - accessible category
KW - universal class
KW - locally multipresentable category
UR - https://www.ams.org/journals/proc/2019-147-03/S0002-9939-2018-14326-9/S0002-9939-2018-14326-9.pdf
L2 - https://www.ams.org/journals/proc/2019-147-03/S0002-9939-2018-14326-9/S0002-9939-2018-14326-9.pdf
N2 - We exhibit an equivalence between the model-theoretic framework of universal classes and the category-theoretic framework of locally multipresentable categories. We similarly give an equivalence between abstract elementary classes (AECs) admitting intersections and locally polypresentable categories. We use these results to shed light on Shelah's presentation theorem for AECs.
ER -
LIEBERMAN, Michael, Jiří ROSICKÝ a Sébastien Bernard VASEY. Universal abstract elementary classes and locally multipresentable categories,. \textit{Proceedings of the American Mathematical Society}. Providence: AMER MATHEMATICAL SOC, 2019, roč.~147, č.~3, s.~1283-1298. ISSN~0002-9939. Dostupné z: https://dx.doi.org/10.1090/proc/14326.
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