Tameness in generalized metric structures

Varování

Publikace nespadá pod Pedagogickou fakultu, ale pod Přírodovědeckou fakultu. Oficiální stránka publikace je na webu muni.cz.

Autoři	LIEBERMAN Michael ROSICKÝ Jiří ZAMBRANO Pedro
Rok publikování	2023
Druh	Článek v odborném periodiku
Časopis / Zdroj	Archive for Mathematical Logic
Fakulta / Pracoviště MU	Přírodovědecká fakulta
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:	Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku