Ranks in Ellis semigroups and model theory

Autor:	Codenotti, Alessandro, Hoffmann, Daniel Max
Rok vydání:	2023
Předmět:	Mathematics - Logic Mathematics - Dynamical Systems Primary 03C45 Secondary 37BXX 54H15
Druh dokumentu:	Working Paper
Popis:	We slightly generalize a notion of rank introduced by Glasner and Megrelishvili, which captures the oscillations of elements of Ellis semigroups, so that it can be applied to any compact Hausdorff space instead of being limited to the metric case. Then, we relate this rank to classical dividing lines in the model-theoretic stability hierarchy. For example, that the rank is ordinal-valued if and only if the background theory is NIP.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.05477 Zobrazit plný text záznamu View this record from Arxiv