KLI

Decomposition of regular openness of sets

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Alternative Title
집합의 정칙 개 분할
Abstract
정칙개집합과 정칙반개집합의 정의에 의하여, 우리는 그들의 제 성질들을 알아보고, 정칙개집합의 분할에 관한정리, 즉 정칙개집합이 되기 위한 필요충분조건은 개집합이고 동시에 정칙반개집합임을 보인다. 끝으로 새로운 분리공리들을 정의하여 그들 상호간의 포함관계를 알아본다.
By definitions of a regular open set and a regular semiopen set, we find their properties and show the theorem on the decomposition of a regular open set, that is, a set is regular open if and only if it is open and regular semiopen. Finally, we define new separation axioms and find the implications between them in the part 'application'.
By definitions of a regular open set and a regular semiopen set, we find their properties and show the theorem on the decomposition of a regular open set, that is, a set is regular open if and only if it is open and regular semiopen. Finally, we define new separation axioms and find the implications between them in the part 'application'.
Author(s)
S.N. MaheshwariChae, Gyu IhnS.S. Thakur
Issued Date
1981
Type
Research Laboratory
URI
https://oak.ulsan.ac.kr/handle/2021.oak/4947
http://ulsan.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000002025288
Alternative Author(s)
S.N. Maheshwari채규인S.S. Thakur
Publisher
연구논문집
Language
eng
Rights
울산대학교 저작물은 저작권에 의해 보호받습니다.
Citation Volume
12
Citation Number
1
Citation Start Page
141
Citation End Page
145
Appears in Collections:
Research Laboratory > University of Ulsan Report
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