Publication detail

Tameness in generalized metric structures

ROSICKÝ, J. LIEBERMAN, M. ZAMBRANO, P.

Original Title

Tameness in generalized metric structures

Type

journal article in Web of Science

Language

English

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.

Keywords

Abstract model theory; Metric abstract elementary classes; Metric structures; Quantales; Quantale-valued metrics; Tameness

Authors

ROSICKÝ, J.; LIEBERMAN, M.; ZAMBRANO, P.

Released

22. 10. 2022

Publisher

SPRINGER HEIDELBERG

Location

HEIDELBERG

ISBN

1432-0665

Periodical

ARCHIVE FOR MATHEMATICAL LOGIC

Year of study

22.10.2022

Number

22.10.2022

State

Federal Republic of Germany

Pages count

28

URL

https://link.springer.com/article/10.1007/s00153-022-00852-4

BibTex

@article{BUT180123,
  author="Jiří {Rosický} and Michael Joseph {Lieberman} and Pedro {Zambrano}",
  title="Tameness in generalized metric structures",
  journal="ARCHIVE FOR MATHEMATICAL LOGIC",
  year="2022",
  volume="22.10.2022",
  number="22.10.2022",
  pages="28",
  doi="10.1007/s00153-022-00852-4",
  issn="1432-0665",
  url="https://link.springer.com/article/10.1007/s00153-022-00852-4"
}