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http://dx.doi.org/10.5831/HMJ.2014.36.3.669

FUNCTIONS ON κ-NET CONVERGENCE STRUCTURES

Cho, Myung Hyun (Department of Mathematics Education, Wonkwang University)
Kim, Junhui (Department of Mathematics Education, Wonkwang University)
Moon, Mi Ae (Division of Mathematics & Informational Statistics, Wonkwang University)

Publication Information

Honam Mathematical Journal / v.36, no.3, 2014 , pp. 669-678 More about this Journal

Abstract

We investigate various properties of ${\kappa}$ -net convergence structures and define a ${\kappa}$ -net-based continuous function on ${\kappa}$ -net $\mathcal{L}^+$ -convergence structures, and study relationships between continuity and ${\kappa}$ -net-based continuity on ${\kappa}$ -net $\mathcal{L}^+$ -convergence structures. We also provide some characterizations of ${\kappa}$ -net-based continuity.

Keywords

${\kappa}$ -net; ${\kappa}$ -Fr $\acute{e}$ chet; ${\kappa}$ -net space; sequentially continuous; ${\kappa}$ -net-based continuous;

Citations & Related Records

Reference

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