Publication detail
Tameness in generalized metric structures
ROSICKÝ, J. LIEBERMAN, M. ZAMBRANO, P.
English title
Tameness in generalized metric structures
Type
journal article in Web of Science
Language
en
Original abstract
We broaden the framework of metric abstract elementary classes (mAECs) in several essential ways, chiefly by allowing the metric to take values in a well-behaved quantale. As a proof of concept we show that the result of Boney and Zambrano (Around the set-theoretical consistency of d-tameness of metric abstract elementary classes, arXiv:1508.05529, 2015) on (metric) tameness under a large cardinal assumption holds in this more general context. We briefly consider a further generalization to partial metric spaces, and hint at connections to classes of fuzzy structures, and structures on sheaves.
English abstract
We broaden the framework of metric abstract elementary classes (mAECs) in several essential ways, chiefly by allowing the metric to take values in a well-behaved quantale. As a proof of concept we show that the result of Boney and Zambrano (Around the set-theoretical consistency of d-tameness of metric abstract elementary classes, arXiv:1508.05529, 2015) on (metric) tameness under a large cardinal assumption holds in this more general context. We briefly consider a further generalization to partial metric spaces, and hint at connections to classes of fuzzy structures, and structures on sheaves.
Keywords in English
Abstract model theory; Metric abstract elementary classes; Metric structures; Quantales; Quantale-valued metrics; Tameness
Released
22.10.2022
Publisher
SPRINGER HEIDELBERG
Location
HEIDELBERG
ISSN
1432-0665
Volume
22.10.2022
Number
22.10.2022
Pages count
28
BIBTEX
@article{BUT180123,
author="Jiří {Rosický} and Michael Joseph {Lieberman} and Pedro {Zambrano},
title="Tameness in generalized metric structures",
year="2022",
volume="22.10.2022",
number="22.10.2022",
month="October",
publisher="SPRINGER HEIDELBERG",
address="HEIDELBERG",
issn="1432-0665"
}