On Paraopen Sets and Maps in Topological Spaces
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In this paper, we introduce and study the concept of a new class of sets called paraopen sets and paraclosed sets in topological spaces. During this process some of their properties are obtained. Also we introduce and investigate a new class of maps called paracontinuous, *-paracontinuous, parairresolute, minimal paracontinuous and maximal paracontinuous maps and study their basic properties in topological spaces.
Abstract
In this paper, we introduce and study the concept of a new class of sets called paraopen sets and paraclosed sets in topological spaces. During this process some of their properties are obtained. Also we introduce and investigate a new class of maps called paracontinuous, *-paracontinuous, parairresolute, minimal paracontinuous and maximal paracontinuous maps and study their basic properties in topological spaces.
참고문헌 (4)
- S. S. Benchalli, "On minimal open sets and maps in topological spaces", Journal of Computer and Mathematical Sciences, 2(2), pp.208~220 (2011)
- F. Nakaoka, "Some Applications of Minimal Open Sets", Interindent na-tional Journal of Mathematics and Mathematical Sciences, 27(8), pp.471~476 (2011)
- F. Nakaoka, "Some Properties of Maximal Open Sets", International Journal of Mathematics and Mathematical Sciences, 21, pp.1331~1340 (2003)
- F. Nakaoka, "Minimal closed sets and maximal closed sets", International Journal of Mathematics and Mathematical Sciences, pp.1~8 (2006)