Universal abstract elementary classes and locally multipresentable categories,
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00107211" target="_blank" >RIV/00216224:14310/19:00107211 - isvavai.cz</a>
Result on the web
<a href="https://www.ams.org/journals/proc/2019-147-03/S0002-9939-2018-14326-9/S0002-9939-2018-14326-9.pdf" target="_blank" >https://www.ams.org/journals/proc/2019-147-03/S0002-9939-2018-14326-9/S0002-9939-2018-14326-9.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/proc/14326" target="_blank" >10.1090/proc/14326</a>
Alternative languages
Result language
angličtina
Original language name
Universal abstract elementary classes and locally multipresentable categories,
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the American Mathematical Society
ISSN
0002-9939
e-ISSN
1088-6826
Volume of the periodical
147
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
1283-1298
UT code for WoS article
000455239400033
EID of the result in the Scopus database
2-s2.0-85061602081