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Keywords

Open totals
Topological space
Types of mappings

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.  
https://doi.org/10.33899/csmj.2012.163713
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