A stability transfer theorem in d-tame Metric Abstract Elementary Classes

TL;DR

This paper introduces a stability transfer theorem for d-tame Metric Abstract Elementary Classes, utilizing a new independence notion called Tame Independence, under superstability-like assumptions.

Contribution

It presents a novel stability transfer theorem in d-tame Metric AECs using Tame Independence, differing from previous locality-based approaches.

Findings

Established a new stability transfer result for d-tame Metric AECs

Introduced Tame Independence as a key tool for stability analysis

Extended stability transfer techniques to a broader class of metric structures

Abstract

In this paper, we study a stability transfer theorem in d-tame Metric Abstract Elementary classes, in a similar way as in [BaKuVa], but using superstability-like assumptions which involves a new independence notion (Tame Independence) instead of $\aleph_0$-locality.