| Título: |
ε-Open sets - doi: 10.4025/actascitechnol.v35i1.15585 |
| Autores: | Al-Hawary, Talal Ali; Yarmouk University |
| Fecha: | 2013-01-30 |
| Publicador: | Acta Scientiarum. Techonology |
| Fuente: |
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| Tipo: |
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| Tema: |
ζ-open; Countable set; Anti locally countable space 54C08, 54H05. |
| Descripción: |
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. 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. |
| Idioma: | Inglés |