New types of compactness

In this paper we developed new concepts in general topology where new compactness spaces different from the known compactness spaces have emerged. We found that an infinite space and β-closed space cannot be strongly compact space. In addition to that each β-closed space that satisfies C_2 property is a semi-compact space. We have also obtained other related results.

Author: 
Algrady, M. S. and Bashir, M. A.
Journal Name: 
Int J Inf Res Rev
Volume No: 
04
Issue No: 
10
Year: 
2017
Paper Number: 
2124
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