期刊
FILOMAT
卷 28, 期 1, 页码 21-25出版社
UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL1401021C
关键词
Alexandroff space; Separation axiom semi-T-1/2; Khalimsky line; Digital topological space; Domain theory
资金
- National Research Foundation of Korea(NRF)
- Ministry of Education, Science and Technology [2013R1A1A4A01007577]
- Japan Society for the Promotion of Science [22540084]
- Grants-in-Aid for Scientific Research [22540084] Funding Source: KAKEN
In this paper we prove that each subspace of an Alexandroff T-0-space is semi-T-1/2. In particular, any subspace of the folder X-n, where n is a positive integer and X is either the Khalimsky line (Z,tau(K)), the Marcus-Wyse plane (Z(2), tau(MW)) or any partially ordered set with the upper topology is semi-T-1/2. Then we study the basic properties of spaces possessing the axiom semi-T-1/2 such as finite productiveness and monotonicity.
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