A multiple recurrence theorem for countable directed partial semigroup actions
Bull. Korean Math. Soc.
Published online June 10, 2019
Tiaoying Zeng
Jiaying University
Abstract : We show a multiple recurrence theorem for topological dynamical systems with countable directed partial semigroup actions,which generalizes the well-known IP-version of multiple recurrence theorem proved by Furstenberg and Weiss.
Keywords : Recurrence, multiple recurrence theorem, directed partial semigroup, coideal basis
MSC numbers : 37B20, 54H20
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