Detailed Information on Publication Record
2017
Metric abstract elementary classes as accessible categories
LIEBERMAN, Michael and Jiří ROSICKÝBasic information
Original name
Metric abstract elementary classes as 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, Cambridge, CAMBRIDGE UNIV PRESS, 2017, 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: 0.793
RIV identification code
RIV/00216224:14310/17:00094982
Organization unit
Faculty of Science
UT WoS
000410065300010
Keywords in English
metric abstract elementary class; accessible category; complete metric space
Změněno: 9/4/2018 10:43, Ing. Nicole Zrilić
Abstract
V originále
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.
Links
| GBP201/12/G028, research and development project |
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