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DJPS

Diyala Journal For Pure Science

Scientific Refereed Journal Published By College of Science - University of Diyala

 

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djps.15.01.487B

Diyala Journal For Pure Sciences DJPS

ISRA Impact Factor:3.715

P- ISSN:2222-8373, E-ISSN:2518-9255

Volume 15, Issue 1 , January . 2019

 

 

 

  

On -Open Set and Some of its Applications

 

Jamil Mahmoud Jamil and Intisar Elaiwi Ubaid

 

Year: 2019, Volume: 15, Issue: 1

 

Pages: 136-151, DOI: http://dx.doi.org/10.24237/djps.1501.487B 

 

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Abstract


 

In this work, we study and introduce new type of open sets is called -open. We characterize these sets and investigate some of their mainly properties. Further, we present various functions are associated with -open, called -open, M -open, and weakly -open. We also discuss many characterizations, properties, and relations are discussed. Finally, we study  -separation axioms by using -set

 

Keywords: -open set, closed set, -open function, M -open function, weakly -open function, -set

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