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On the family of weakly Irg-closed sets and the family of Ig-open sets

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2012
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Abstract (EN)

In this thesis, a generalized class of - called weakly Irg-open sets in ideal topological spaces is introduced and the notion of weakly Irg-closed sets in ideal topological spaces is studied. The relationships of weakly Irg-closed sets and various properties of weakly Irg-closed sets are investigated.Another aim of this thesis is to introduce and study the notions of rough closedness and rough continuity with related to Ig-closed sets in ideal topological spaces. The relationships between rough closedness, Ig-closed sets and between rough continuity, Ig-closed sets and also various properties of rough closedness and rough continuity are investigated. It is shown in the present thesis that the inverse image of any Ig-closed set under Ig-continuity and rough closedness is Ig-closed and the image of any Ig-closed set under rough continuity and ?-closedness is Ig-closed.

Author

Sena Özen

How to Cite

Sena Özen (Doctorate thesis). On the family of weakly Irg-closed sets and the family of Ig-open sets, 2012, Çanakkale Onsekiz Mart University.

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