학술논문
ON NEARNESS SPACE
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- 영문명
- 발행기관
- 충청수학회
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- SEUNG ON LEE EUN AI CHOI
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 8, No. 1, 19~27쪽, 전체 9쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 1995.06.30
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국문 초록
영문 초록
In 1974 H.Herrlichinventednearnessspaces, a very fruitful concept which enables one to unify topological aspects. In this paper, we introduce the Lindelöf nearness structure, countably bounded nearness structure and countably totally bounded nearness structure. And we show that (X, εL) is concrete and complete if and only if εL = εt in a symmetric topological space (X, t). Also we show that the following are equivalent in a symmetric topological space (X, t):
(1) (X, εL) is countably totally bounded.
(2) (X, εt) is countably totally bounded.
(3) (X, t) is countably compact.
목차
ABSTRACT
1. Introduction
2. The Lindelöf Nearness Space
REFERENCES
키워드
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