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Some Remarks Concerning Semi-T-1/2 Spaces
Linköping University, Department of Mathematics. Linköping University, Faculty of Science & Engineering.
Chonbuk National University, South Korea .
Shimane University, Japan .
2014 (English)In: Filomat, ISSN 0354-5180, Vol. 28, no 1, 21-25 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
University of Nis , 2014. Vol. 28, no 1, 21-25 p.
Keyword [en]
Alexandroff space; Separation axiom semi-T-1/2; Khalimsky line; Digital topological space; Domain theory
National Category
Medical and Health Sciences
Identifiers
URN: urn:nbn:se:liu:diva-105768DOI: 10.2298/FIL1401021CISI: 000331996600003OAI: oai:DiVA.org:liu-105768DiVA: diva2:710097
Available from: 2014-04-04 Created: 2014-04-04 Last updated: 2017-12-05

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Chatyrko, Vitalij A.
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