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@article{1339474,
author = {Lieberman, Michael and Rosický, Jiří},
article_number = {1},
doi = {http://dx.doi.org/10.1017/jsl.2014.85},
keywords = {abstract elementary class;accessible category;galois type},
language = {eng},
issn = {0022-4812},
journal = {The Journal of Symbolic Logic},
title = {Classification theory for accessible categories},
volume = {81},
year = {2016}
}
TY - JOUR
ID - 1339474
AU - Lieberman, Michael - Rosický, Jiří
PY - 2016
TI - Classification theory for accessible categories
JF - The Journal of Symbolic Logic
VL - 81
IS - 1
SP - 151-165
EP - 151-165
SN - 00224812
KW - abstract elementary class;accessible category;galois type
N2 - 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.
ER -
LIEBERMAN, Michael a Jiří ROSICKÝ. Classification theory for accessible categories. \textit{The Journal of Symbolic Logic}. roč.~81, č.~1, s.~151-165. ISSN~0022-4812. doi:10.1017/jsl.2014.85. 2016.
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