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Some Topologies Induced by b-open Sets

M. E. Abd El-Monsef|A. A. El-Atik|M. M. El-Sharkasy
경북대학교 자연과학대학 수학과|2005.12|Kyungpook Mathematical Journal|제45권 제4호|pp. 539-547

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Abstract

The class ofb-open sets in the sense of Andrijevi´c([3]), was discussed byEl-Atik ([9]) under the name of-open sets. This class is closed under arbitraryunion. The aim of this paper is to use Λ-sets and_-sets due to Maki ([15]) sometopologies are constructed with the concept ofb-open sets.b-Λ-sets,b-_-sets arethe basic concepts introduced and investigated. Moreover, several types of nearcontinuous function based onb-Λ-sets,b-_-sets are constructed and studied.

참고문헌 (10)

  1. D. Andrijevi´c, "Some properties of the topology of-sets", pp.1~10 (1984)
  2. D. Andrijevi´c, "Semi preopen sets", 38 (1986)
  3. D. Andrijevi´c, "On the topology generated by preopen sets", pp.367~376 (1987)
  4. "Λ-sets andGΛ-sets", 21, pp.21~30 (2000)
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  8. "Generalized closed sets in topology", pp.89~96 (1970)
  9. "Semi-open sets and semi-continuity in topological space", pp.36~41 (1963)
  10. "Issul in commemoration of prof. Kazusada Ikeda's. Retirement", pp.1 139~146 (1986)

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