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arXiv · 2308.06322

On measure-preserving $\mathbb{F}_p^\omega$-systems of order $k$

Pablo Candela·Diego González-Sánchez·Balázs Szegedy
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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 $\mathbb{F}_p^\omega$-system of order $k$ is a factor of an Abramov $\mathbb{F}_p^\omega$-system of order $k$. This answers a question of Jamneshan, Shalom and Tao.

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Pablo Candela, Diego González-Sánchez, Balázs Szegedy. 2023-08-11. On measure-preserving $\mathbb{F}_p^\omega$-systems of order $k$. https://arxiv.org/abs/2308.06322

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