Some remarks concerning semi-T1/2 spaces

Vitalij A. Chatyrko; Sang-Eon Han; Yasunao Hattori

doi:10.2298/fil1401021c

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Some remarks concerning semi-T1/2 spaces

Vitalij A. Chatyrko Sang-Eon Han Yasunao Hattori

Year: 2014 Journal: Filomat Vol: 28 (1)Pages: 21-25 Publisher: University of Niš

DOI: 10.2298/fil1401021c

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Abstract

In this paper we prove that each subspace of an Alexandroff T0-space is semi-T1/2. In particular, any subspace of the folder Xn, where n is a positive integer and X is either the Khalimsky line (Z, ?K), the Marcus-Wyse plane (Z2, ?MW) or any partially ordered set with the upper topology is semi-T1/2. Then we study the basic properties of spaces possessing the axiom semi-T1/2 such as finite productiveness and monotonicity.

Keywords:

Mathematics Subspace topology Axiom Space (punctuation) Integer (computer science) Monotonic function Plane (geometry) Combinatorics Topological space Real line Discrete mathematics Pure mathematics Mathematical analysis Geometry

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Fuzzy and Soft Set Theory

Social Sciences → Decision Sciences → Management Science and Operations Research

Advanced Topology and Set Theory

Physical Sciences → Mathematics → Geometry and Topology

Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Some remarks concerning semi-T1/2 spaces

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