PROPERTIES OF α-OPEN SETS IN IDEAL MINIMAL SPACES

M. CALDAS(1), M. GANSTER(2), S. JAFARI(3), T. NOIRI(4) and N. RAJESH(5)

1. Departamento de Matematica Aplicada, Universidade Federal Fluminense, Rua Mario Santos Braga, s/n, 24020-140, Niteroi, RJ BRASIL.
e-mail: gmamccs@vm.uff.br
2. Department of Mathematics, Graz University of Technology Steyrergasse 30, 8010 Graz, AUSTRIA.
e-mail: ganster@weyl.math.tu-graz.ac.at
3. College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, DENMARK.
e-mail: jafaripersia@gmail.com
4. 2949-I Shiokita-cho, Hinagu, Yatsushiro-Shi, Kumamoto-Ken, 869-5142 JAPAN.
e-mail: t.noiri@nifty.com
5. Department of Mathematics, Rajah Serfoji Govt. College, Thanjavur-613005, Tamilnadu, INDIA.
e-mail: nrajesh topology@yahoo.co.in

Abstract

The purpose of this paper is to introduce and characterize the concept of α-open set and several related notions in ideal minimal spaces.

Keywords

Ideal minimal space m-α-I-open set m-α-I-closed set