Universal abstract elementary classes and locally
multipresentable categories,

J 2019

Universal abstract elementary classes and locally multipresentable categories,

LIEBERMAN, Michael; Jiří ROSICKÝ a Sébastien Bernard VASEY

Základní údaje

Originální název

Universal abstract elementary classes and locally multipresentable categories,

Autoři

LIEBERMAN, Michael; Jiří ROSICKÝ a Sébastien Bernard VASEY

Vydání

Proceedings of the American Mathematical Society, Providence, AMER MATHEMATICAL SOC, 2019, 0002-9939

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Full Text

Impakt faktor

Impact factor: 0.927

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/19:00107211

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

abstract elementary class; accessible category; universal class; locally multipresentable category

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 12. 3. 2020 11:49, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

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.

Návaznosti

GBP201/12/G028, projekt VaV

Název: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Investor: Grantová agentura ČR, Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Citovat

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://doi.org/10.1090/proc/14326.

@article{1479961,
   author = {Lieberman, Michael and Rosický, Jiří and Vasey, Sébastien Bernard},
   article_location = {Providence},
   article_number = {3},
   doi = {https://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://doi.org/10.1090/proc/14326.

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