Characterizations of Strongly Compact Spaces
| Autor: | Ahmad Al-Omari, Takashi Noiri, Mohd. Salmi Md. Noorani |
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| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 2009 (2009) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/2009/573038 |
| Popis: | A topological space (X,τ) is said to be strongly compact if every preopen cover of (X,τ) admits a finite subcover. In this paper, we introduce a new class of sets called -preopen sets which is weaker than both open sets and -open sets. Where a subset A is said to be -preopen if for each x∈A there exists a preopen set Ux containing x such that Ux−A is a finite set. We investigate some properties of the sets. Moreover, we obtain new characterizations and preserving theorems of strongly compact spaces. |
| Databáze: | Directory of Open Access Journals |
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