Informace o publikaci
Tameness in generalized metric structures
| Autoři | |
|---|---|
| Rok publikování | 2023 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Archive for Mathematical Logic |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://doi.org/10.1007/s00153-022-00852-4 |
| Doi | http://dx.doi.org/10.1007/s00153-022-00852-4 |
| Klíčová slova | Abstract model theory; Metric abstract elementary classes; Metric structures; Quantales; Quantale-valued metrics; Tameness |
| Popis | 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. |
| Související projekty: |