Central Sets Theorem near zero

E Bayatmanesh,M Akbari Tootkaboni

doi:10.1016/j.topol.2016.06.014

Central Sets Theorem near zero

E Bayatmanesh, M Akbari Tootkaboni

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https://doi.org/10.1016/j.topol.2016.06.014

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Journal: Topology and its Applications	Publication Date: Jul 21, 2016
Citations: 7	License type: publisher-specific-oa

Affiliation: Shahed University

#Central Sets Theorem #Central Theorem + Show 5 more

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Abstract

In this paper, we introduce notions of J-set near zero and C-set near zero for a dense subsemigroup of ((0,+∞),+) and state the Central Sets Theorem near zero. Among the other results for a dense subsemigroup S⊆((0,+∞),+), we give some sufficient and equivalent algebraic conditions on a subset A⊂S to be J-set near zero and to be C-set near zero.

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