The structures of pointwise recurrent quasi-graph maps

نویسندگان

چکیده

We show that a continuous map f from quasi-graph X to itself is pointwise recurrent if and only one of the following two statements holds: (1) simple closed curve topologically conjugate an irrational rotation on unit circle S1; (2) periodic homeomorphism.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2023

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2023.127334