Some notes about Hausdorff μ-space
- Alternative Title
- Hausdorff μ-space에 관한 연구
- Abstract
- 본 논문에서는 Hausdorff μ-space를 정의하여 이들이 갖는 몇가지 성질들을 알아 보았다. 제 2절에서는 일반 Hausdorff인 위상공간에서 이들 보다 finer한 ?공간을 정의하여 본래 주어진 위상공간과의 관계를 비교하였고, 저 3절에서는 Hausdorff μ-space의 필요조건과 충분조건을 찾아보았다. 제 4절에서는 국소 μ-space를 정의하여 국소 μ-space이면 μ-space임을 증명하였고 임의의 μ-space의 폐부분 공간은 μ-space임을 증명하였다.
In the paper we define a Hausdorff μ-space and study its properities. In section 2, we consider some properities between the given topology and the μ-extention topology. In section 3, we investigate the necessary condition and the dufficient condition for the Hausdorff μ-space. In section 4, we prove that a locally μ-space is a μ-space and any closed subspace of μ-space is a μ-space.
In the paper we define a Hausdorff μ-space and study its properities. In section 2, we consider some properities between the given topology and the μ-extention topology. In section 3, we investigate the necessary condition and the dufficient condition for the Hausdorff μ-space. In section 4, we prove that a locally μ-space is a μ-space and any closed subspace of μ-space is a μ-space.
- Author(s)
- Chung, In-Jae
- Issued Date
- 1973
- Type
- Research Laboratory
- URI
- https://oak.ulsan.ac.kr/handle/2021.oak/5089
http://ulsan.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000002025554
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