학술논문
TOPOLOGY FIELDS, TOPOLOGICAL FLOWS AND TOPOLOGICAL ORGANISMS
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Jae-Ryong Kim
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 26, No. 1, 53~69쪽, 전체 17쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2013.02.28
4,840원
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국문 초록
영문 초록
Topology may described a pattern of existence of ele- ments of a given set X. The family ¿ (X) of all topologies given on a set X form a complete lattice. We will give some topologies on this lattice ¿ (X) using a topology on X and regard ¿ (X) a topological space.
A topology ¿ on X can be regarded a map from X to ¿ (X) naturally. Such a map will be called topology ¯eld. Similarly we can also de¯ne pe-topology ¯eld. If X is a topological °ow group with acting group T, then naturally we can get a another topological°ow ¿ (X) with same acting group T. If the topological °ow X is
minimal, we can prove ¿ (X) is also minimal.
The disjoint unions of the topological spaces can describe some topological systems (topological organisms). Here we will give a de¯nition of topological organism. Our purpose of this study is to describe some properties concerning patterns of relationship be-tween topology ¯elds and topological organisms.
목차
1. Introduction
2. Topology ¯elds and pe-topology ¯elds on X.
3. Topological °ow (X; T; ¼) and topologies on X
4. Topology ¯elds and topological organism
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