On i α- Open Sets | Zendy

Amir A. Mohammed | Zendy; Omar y. kahtab | Zendy

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On i α- Open Sets

Author(s) -

Amir A. Mohammed,

Omar y. kahtab

Publication year - 2012

Publication title -

maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics

Language(s) - English

Resource type - Journals

eISSN - 2311-7990

pISSN - 1815-4816

DOI - 10.33899/csmj.2012.163713

Subject(s) - separation axiom , topological space , open set , open and closed maps , class (philosophy) , axiom , set (abstract data type) , mathematics , t1 space , space (punctuation) , computer science , continuous map , discrete mathematics , pure mathematics , topology (electrical circuits) , combinatorics , topological vector space , artificial intelligence , isolated point , geometry , programming language , operating system

219 On iα Open Sets Amir A. Mohammed Omar y. kahtab College of Education, University of Mosul Received on: 22/04/2012 Accepted on: 28/06/2012 ABSTRACT In this paper, we introduce a new class of open sets defined as follows: A subset A of a topological space ) , ( X is called iα-open set, if there exists a non-empty subset O of X, ) (X O O , such that ) ( O A Cl A . Also, we present the notion of iα-continuous mapping,

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