Detailed Information on Publication Record
2016
Classification theory for accessible categories
LIEBERMAN, Michael and Jiří ROSICKÝBasic 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
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United Kingdom of Great Britain and Northern Ireland
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 0.511
RIV identification code
RIV/00216224:14310/16:00087849
Organization unit
Faculty of Science
UT WoS
000372370300008
Keywords in English
abstract elementary class;accessible category;galois type
Tags
International impact, Reviewed
Změněno: 13/3/2018 18:39, prof. RNDr. Jiří Rosický, DrSc.
Abstract
V originále
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 project |
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