학술저널
DEGREE OF NEARNESS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 2
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2008.06175 - 182 (8 pages)
- 0
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.
1. Pre-ordered set
2. Degree of nearness in a topological space
3. New topology generated by partitions
4. Nearness spaces
Acknowledgements
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