Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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DEGREE OF NEARNESS

  • Lee, Seung On (Department of Mathematics Chungbuk National University) ;
  • Lee, Eun Pyo (Department of Mathematics Seonam University)
  • Received : 2008.02.28
  • Accepted : 2008.04.14
  • Published : 2008.06.30
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Abstract

This paper is a revised version of [5]. In [5], we define' nearness between two points' in a topological space in many ways and show that a continuous function preserves one-sided nearness. We also show that a $T_1$-space is characterized by one-sided nearness exactly. In this paper, we introduce extremally disconnected spaces and show that the new topology generated by the set of equivalence classes as a base is extremally disconnected.

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