Publication details

Tameness in generalized metric structures

Investor logo
Authors

LIEBERMAN Michael ROSICKÝ Jiří ZAMBRANO Pedro

Year of publication 2023
Type Article in Periodical
Magazine / Source Archive for Mathematical Logic
MU Faculty or unit

Faculty of Science

Citation
web https://doi.org/10.1007/s00153-022-00852-4
Doi http://dx.doi.org/10.1007/s00153-022-00852-4
Keywords Abstract model theory; Metric abstract elementary classes; Metric structures; Quantales; Quantale-valued metrics; Tameness
Description 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.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.

More info

By clicking “Accept Cookies”, you agree to the storing of cookies on your device to enhance site navigation, analyze site usage, and assist in our marketing efforts. Cookie Settings

Necessary Only Accept Cookies