학술논문
DEGREE OF NEARNESS
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- Seung On Lee Eun Pyo Lee
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 21, No. 2, 175~182쪽, 전체 8쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2008.06.30
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국문 초록
영문 초록
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 T1-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.
목차
1. Pre-ordered set
2. Degree of nearness in a topological space
3. New topology generated by partitions
4. Nearness spaces
Acknowledgements
References
키워드
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