Force recurrence near zero

Fuente: arXiv
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Main Authors: Singha, Manoranjan, Hom, Ujjal Kumar
Format: Preprint
Published: 2022
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_version_ 1866912710782877696
author Singha, Manoranjan
Hom, Ujjal Kumar
author_facet Singha, Manoranjan
Hom, Ujjal Kumar
contents Considering any dense subsemigroup of the additive semigroup of positive real numbers and a filter associated with it as the domain of thought, various concepts of sets like sets that forces recurrence near zero, sets that contains broken IP-set near near zero, sets that forces uniform recurrence near zero and sets that contains broken syndetic set near zero have been introduced and some relation among them are established by assuming countability of the said dense subsemigroup. The article begin with a characterization of recurrent point near zero.
format Preprint
id arxiv_https___arxiv_org_abs_2212_03920
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Force recurrence near zero
Singha, Manoranjan
Hom, Ujjal Kumar
Dynamical Systems
37B20, 37B05, 05B10
Considering any dense subsemigroup of the additive semigroup of positive real numbers and a filter associated with it as the domain of thought, various concepts of sets like sets that forces recurrence near zero, sets that contains broken IP-set near near zero, sets that forces uniform recurrence near zero and sets that contains broken syndetic set near zero have been introduced and some relation among them are established by assuming countability of the said dense subsemigroup. The article begin with a characterization of recurrent point near zero.
title Force recurrence near zero
topic Dynamical Systems
37B20, 37B05, 05B10
url https://arxiv.org/abs/2212.03920