Classification theory for accessible categories

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F16%3A00087849" target="_blank" >RIV/00216224:14310/16:00087849 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1017/jsl.2014.85" target="_blank" >http://dx.doi.org/10.1017/jsl.2014.85</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/jsl.2014.85" target="_blank" >10.1017/jsl.2014.85</a>

Result language
angličtina
Original language name
Classification theory for accessible categories
Original language description
We show that a number of results on abstract elementary classes (AECs) hold in accessible categories with concrete directed colimits. In particular, we prove a generalization of a recent result of Boney on tameness under a large cardinal assumption. We also show that such categories support a robust version of the Ehrenfeucht-Mostowski construction. This analysis has the added benefit of producing a purely language-free characterization of AECs, and highlights the precise role played by the coherence axiom.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

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)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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