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.
Tiaoying Zeng
Jiaying University
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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