- TOPOLOGY FIELDS, TOPOLOGICAL FLOWS AND TOPOLOGICAL ORGANISMS
- TOPOLOGY FIELDS, TOPOLOGICAL FLOWS AND TOPOLOGICAL ORGANISMS
- ㆍ 저자명
- Kim. Jae-Ryong
- ㆍ 간행물명
- 충청수학회지
- ㆍ 권/호정보
- 2013년|26권 1호|pp.53-69 (17 pages)
- ㆍ 발행정보
- 충청수학회
- ㆍ 파일정보
- 정기간행물|ENG| PDF텍스트
- ㆍ 주제분야
- 기타
Topology may described a pattern of existence of elements of a given set X. The family ${ au}(X)$ of all topologies given on a set X form a complete lattice. We will give some topologies on this lattice ${ au}(X)$ using a topology on X and regard ${ au}(X)$ a topological space. A topology ${ au}$ on X can be regarded a map from X to ${ au}(X)$ naturally. Such a map will be called topology field. Similarly we can also define pe-topology field. If X is a topological flow group with acting group T, then naturally we can get a another topological flow ${ au}(X)$ with same acting group T. If the topological flow X is minimal, we can prove ${ au}(X)$ is also minimal. The disjoint unions of the topological spaces can describe some topological systems (topological organisms). Here we will give a definition of topological organism. Our purpose of this study is to describe some properties concerning patterns of relationship between topology fields and topological organisms.