Tameness in generalized metric structures
Logic
2022-09-09 v4
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 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
Cite
@article{arxiv.1810.02317,
title = {Tameness in generalized metric structures},
author = {Michael Lieberman and Jiri Rosicky and Pedro Zambrano},
journal= {arXiv preprint arXiv:1810.02317},
year = {2022}
}