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Bull. Korean Math. Soc. 2019; 56(6): 1577-1588

Online first article August 6, 2019      Printed November 30, 2019

https://doi.org/10.4134/BKMS.b190013

Copyright © The Korean Mathematical Society.

A multiple recurrence theorem for countable directed partial semigroup actions

Tiaoying Zeng

Jiaying University

Abstract

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We show a multiple recurrence theorem for topological \linebreak dynamical systems with countable directed partial semigroup actions, which generalizes the well-know IP-version of multiple recurrence theorem proved by Furstenberg and Weiss.

Keywords: recurrence, multiple recurrent theorem, directed partial semigroup, coideal basis

MSC numbers: 37B20, 54H20

Supported by: The author was partly supported by NSF of China (grant numbers 11471202 and 11771264)

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