Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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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)
  • Received : 2014.08.08
  • Accepted : 2014.08.26
  • Published : 2014.09.25
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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.

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References

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