2015arXiv (Cornell University)Open access

Central set Theorem near zero

E. Bayatmanesh, M. Akbari Tootkaboni, A. Bagheri Sales

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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 $((0,+\infty),+)$ and obtain some results for them. Also we derive the Central Sets Theorem near zero.

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What this paper is about

In this paper, we introduce notions of $J$-set near zero and $C$-set near zero for a dense subsemigroup of $((0,+\infty),+)$ and obtain some results for them. Also we derive the Central Sets Theorem near zero.

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Available abstract

In this paper, we introduce notions of $J$-set near zero and $C$-set near zero for a dense subsemigroup of $((0,+\infty),+)$ and obtain some results for them. Also we derive the Central Sets Theorem near zero.

Key concepts: Zero (linguistics), Zero set, Set (abstract data type), Mathematics, Null set, Discrete mathematics, Pure mathematics, Computer science

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