<b>&epsilon;-Open sets</b> - doi: 10.4025/actascitechnol.v35i1.15585

Autores

  • Talal Ali Al-Hawary Yarmouk University

DOI:

https://doi.org/10.4025/actascitechnol.v35i1.15585

Palavras-chave:

ζ-open, Countable set, Anti locally countable space

Resumo

In this paper, we introduce the relatively new notion of ζ-open subset which is strictly weaker than open. We prove that the collection of all ζ-open subsets of a space forms a topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known "generalized open" subsets.

 

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Biografia do Autor

Talal Ali Al-Hawary, Yarmouk University

Yarmouk University, Department of Mathematics, P.O Box 566 zip code: 21163, Irbid, Jordan

Publicado

2012-08-27

Como Citar

Al-Hawary, T. A. (2012). <b>&epsilon;-Open sets</b> - doi: 10.4025/actascitechnol.v35i1.15585. Acta Scientiarum. Technology, 35(1), 111–115. https://doi.org/10.4025/actascitechnol.v35i1.15585

Edição

Seção

Matemática

 

0.8
2019CiteScore
 
 
36th percentile
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0.8
2019CiteScore
 
 
36th percentile
Powered by  Scopus