Metric abstract elementary classes as accessible categories

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00094982" target="_blank" >RIV/00216224:14310/17:00094982 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1017/jsl.2016.39" target="_blank" >http://dx.doi.org/10.1017/jsl.2016.39</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/jsl.2016.39" target="_blank" >10.1017/jsl.2016.39</a>

Result language
angličtina
Original language name
Metric abstract elementary classes as accessible categories
Original language description
We show that metric abstract elementary classes are coherent accessible categories with directed colimits, with concrete $aleph_1$-directed colimits and concrete monomorphisms. More broadly, we define a notion of $kappa$-concrete Abstract Elementary Class and develop the theory of such categories, beginning with a category-theoretic analogue of Shelah's Presentation Theorem and a proof of the existence of an Ehrenfeucht-Mostowski functor in case the category is large.
Czech name
—
Czech description
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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

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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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