On i α- Open Sets | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 17, Volume 9, Issue 2, December 2012, Pages 219-228 PDF (433.16 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2012.163713 | ||
| Authors | ||
| Amir A. Mohammed; Omar y. kahtab | ||
| College of Education, University of Mosul | ||
| Abstract | ||
| In this paper, we introduce a new class of open sets defined as follows: A subset A of a topological space is called iα-open set, if there exists a non-empty subset O of X, , such that. Also, we present the notion of iα-continuous mapping, iα-open mapping, iα-irresolute mapping, iα-totally continuous mapping, i-contra-continuous mapping, iα-contra-continuous mapping and we investigate some properties of these mappings. Furthermore, we introduce some iα-separation axioms and the mappings are related with iα-separation axioms. | ||
| Keywords | ||
| Open totals; Topological space; Types of mappings | ||
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