LIEBERMAN, Michael and Jiří ROSICKÝ. Classification theory for accessible categories. The Journal of Symbolic Logic. 2016, vol. 81, No 1, p. 151-165. ISSN 0022-4812. Available from: https://dx.doi.org/10.1017/jsl.2014.85.
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Basic information
Original name Classification theory for accessible categories
Authors LIEBERMAN, Michael (840 United States of America, belonging to the institution) and Jiří ROSICKÝ (203 Czech Republic, guarantor, belonging to the institution).
Edition The Journal of Symbolic Logic, 2016, 0022-4812.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United Kingdom of Great Britain and Northern Ireland
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.511
RIV identification code RIV/00216224:14310/16:00087849
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1017/jsl.2014.85
UT WoS 000372370300008
Keywords in English abstract elementary class;accessible category;galois type
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: prof. RNDr. Jiří Rosický, DrSc., učo 2634. Changed: 13/3/2018 18:39.
Abstract
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.
Links
GBP201/12/G028, research and development projectName: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku
Investor: Czech Science Foundation
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