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arXiv · 1810.02317

Tameness in generalized metric structures

Michael Lieberman·Jiri Rosicky·Pedro Zambrano
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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.

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Michael Lieberman, Jiri Rosicky, Pedro Zambrano. 2022-09-08. Tameness in generalized metric structures. https://arxiv.org/abs/1810.02317

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