Generic wide indiscernible sets

TL;DR

This paper proves that wide Morley sequences in wide generically stable types are structurally similar to the standard basis of an p space, revealing a geometric characterization in model theory.

Contribution

It establishes a new isometric correspondence between wide Morley sequences and p spaces in the context of generically stable types.

Findings

Wide Morley sequences are isometric to p space bases.

Provides a geometric perspective on generically stable types.

Advances understanding of the structure of wide types in model theory.

Abstract

We prove that a wide Morley sequence in a wide generically stable type is isometric to the standard basis of an $\ell_p$ space for some $p$.