On measure-preserving \mathbbF_p^ω-systems of order k

2023/08/11 by Pablo Candela, Candela, Pablo, Diego González-Sánchez +3
Mathematics · #Advanced Topology and Set Theory #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2308.06322

openalex publication_date 2023/08/11 · openalex created_date 2023/08/16 · openalex updated_date 2026/07/28

Abstract

Building on previous work in the nilspace-theoretic approach to the study of Host-Kra factors of measure-preserving systems, we prove that every ergodic \mathbbF_p^ω-system of order k is a factor of an Abramov \mathbbF_p^ω-system of order k. This answers a question of Jamneshan, Shalom and Tao.

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