Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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GENERALIZED PROPERTIES OF STRONGLY FRÉCHET

  • Cho, Myung-Hyun (Department of Mathematics Education, Wonkwang University) ;
  • Kim, Jun-Hui (Department of Mathematics Education, Wonkwang University) ;
  • Moon, Mi-Ae (Division of Mathematics & Informational Statistics, Wonkwang University)
  • Received : 2011.12.14
  • Accepted : 2012.02.13
  • Published : 2012.03.25
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Abstract

Our purpose of this paper is to introduce and study some properties related to approximations by points. More precisely, we introduce strongly AP, strongly AFP, strongly ACP, and strongly WAP properties which are stronger than AP, AFP, ACP, and WAP respectively. Also they are weaker than strongly Fr$\acute{e}$chet property. And we study general properties and topological operations on such spaces and give some examples.

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