γ-(α,β)-Open Sets and γ-(α,β)-Ti Spaces

WU Yao-qiang

doi:10.13371/j.cnki.chin.q.j.m.2018.03.011

Chinese Quarterly Journal of Mathematics >

2018 , Vol. 33 >Issue 3: 324 - 330

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.03.011

γ-(α,β)-Open Sets and γ-(α,β)-T_iSpaces

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College of Arts and Science, Suqian college

WU Yao-qiang(1973-), male, native of Suqian, Jiangsu, an associate professor of Suqian College, engages in general topology.

Accepted date: 2018-04-29

Online published: 2020-10-08

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Abstract

We introduce the concept of γ-(α, β)-open sets and the concepts of γ-(α, β)-T_i spaces(i = 0, 1, 2, 3, 4) based on the concept of

(α, β)-open sets. We obtain some properties of γ-(α, β)-Tispaces. Furthermore, we study their essential characterization in topological space.

Key words： γ-open sets; (α, β)-open sets; γ-(α, β)-open sets; γ-(α, β)-Tispaces

Cite this article

WU Yao-qiang . γ-(α,β)-Open Sets and γ-(α,β)-T_iSpaces[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(3) : 324 -330 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.03.011

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