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TOPOLOGY FIELDS, TOPOLOGICAL FLOWS AND TOPOLOGICAL ORGANISMS
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  • TOPOLOGY FIELDS, TOPOLOGICAL FLOWS AND TOPOLOGICAL ORGANISMS
  • TOPOLOGY FIELDS, TOPOLOGICAL FLOWS AND TOPOLOGICAL ORGANISMS
저자명
Kim. Jae-Ryong
간행물명
충청수학회지
권/호정보
2013년|26권 1호|pp.53-69 (17 pages)
발행정보
충청수학회
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

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.