FUNCTIONS ON κ-NET CONVERGENCE STRUCTURES

• Journal title : Honam Mathematical Journal
• Volume 36, Issue 3,  2014, pp.669-678
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2014.36.3.669
Title & Authors
FUNCTIONS ON κ-NET CONVERGENCE STRUCTURES
Cho, Myung Hyun; Kim, Junhui; Moon, Mi Ae;

Abstract
We investigate various properties of $\small{{\kappa}}$-net convergence structures and define a $\small{{\kappa}}$-net-based continuous function on $\small{{\kappa}}$-net $\small{\mathcal{L}^+}$-convergence structures, and study relationships between continuity and $\small{{\kappa}}$-net-based continuity on $\small{{\kappa}}$-net $\small{\mathcal{L}^+}$-convergence structures. We also provide some characterizations of $\small{{\kappa}}$-net-based continuity.
Keywords
$\small{{\kappa}}$-net;$\small{{\kappa}}$-Fr$\small{\acute{e}}$chet;$\small{{\kappa}}$-net space;sequentially continuous;$\small{{\kappa}}$-net-based continuous;
Language
English
Cited by
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