Detailed Information on Publication Record
2016
$\mu$-abstract elementary classes and other generalizations
BONEY, William Nelson, R. GROSSBERG, Michael LIEBERMAN, Jiří ROSICKÝ, S. VASEY et. al.Basic information
Original name
$\mu$-abstract elementary classes and other generalizations
Authors
BONEY, William Nelson (840 United States of America), R. GROSSBERG (840 United States of America), Michael LIEBERMAN (840 United States of America, belonging to the institution), Jiří ROSICKÝ (203 Czech Republic, guarantor, belonging to the institution) and S. VASEY (250 France)
Edition
Journal of Pure and Applied Algebra, 2016, 0022-4049
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Netherlands
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 0.652
RIV identification code
RIV/00216224:14310/16:00087887
Organization unit
Faculty of Science
UT WoS
000375736300002
Keywords in English
abstract elementary class; accessible category
Tags
International impact, Reviewed
Změněno: 13/3/2018 18:39, prof. RNDr. Jiří Rosický, DrSc.
Abstract
V originále
We introduce $\mu$-Abstract Elementary Classes ($\mu$-AECs) as a broad framework for model theory that includes complete boolean algebras and Dirichlet series, and begin to develop their classification theory. Moreover, we note that $\mu$-AECs correspond precisely to accessible categories in which all morphisms are monomorphisms, and begin the process of reconciling these divergent perspectives: not least, the preliminary classification-theoretic results for $\mu$-AECs transfer directly to accessible categories with monomorphisms.
Links
| GBP201/12/G028, research and development project |
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