arXiv:2212.03920 Abstract | arXiv Analytics

arXiv:2212.03920 [math.DS]Abstract References Reviews Resources

Force recurrence near zero

Published 2022-12-07Version 1

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.

Comments: 9 pages

Categories: math.DS

Subjects: 37B20, 37B05, 05B10

Keywords: force recurrence, dense subsemigroup, contains broken syndetic set, contains broken ip-set, forces uniform recurrence

Related articles:

arXiv:1911.07406 [math.DS] (Published 2019-10-10)

Dynamics Near An Idempotent

Md Moid Shaikh, Sourav Kanti Patra

arXiv:1711.06054 [math.DS] (Published 2017-11-16)

Dynamical characterization of combinatorially rich sets near zero

Sourav Kanti Patra

arXiv:1201.0192 [math.DS] (Published 2011-12-30)