학술논문
THETA TOPOLOGY AND ITS APPLICATION TO THE FAMILY OF ALL TOPOLOGIES ON X
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Jae-Ryong Kim
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 28, No. 3, 431~441쪽, 전체 11쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2015.08.30
4,120원
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국문 초록
Topology may described a pattern of existence of elements of a given set X. The family τ (X) of all topologies given on a set X form a complete lattice. We will give some topologies on this lattice τ (X) using a topology on X and regard τ (X) a topological space. Our purpose of this study is to give new topologies on the family τ (X) of all topologies induced by old one and its θ topology and to compare them.
영문 초록
목차
1. Introduction
2. Compare of θ topologies defined different topologies
3. Topologies on the family τ (X) induced from by a given topology τ
4. Topology on the family τ (X) related to the θ topologies on X
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