A multiple recurrence theorem for countable directed partial semigroup actions
Bull. Korean Math. Soc.
Published online August 6, 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
Full-Text :


Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd