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On Paraopen Sets and Maps in Topological Spaces
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  • Journal title : Kyungpook mathematical journal
  • Volume 56, Issue 1,  2016, pp.301-310
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2016.56.1.301
 Title & Authors
On Paraopen Sets and Maps in Topological Spaces
Ittanagi, Basavaraj M.; Benchalli, Shivanagappa S.;
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 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.
 Keywords
Paraopen sets;minimal open sets and maximal open sets;
 Language
English
 Cited by
 References
1.
S. S. Benchalli, Basavaraj M. Ittanagi and R. S.Walli, On minimal open sets and maps in topological spaces, Journal of Computer and Mathematical Sciences, 2(2)(2011), 208-220.

2.
F. Nakaoka and N. Oda, Some Applications of Minimal Open Sets, Interindent national Journal of Mathematics and Mathematical Sciences, 27(8)(2011), 471-476.

3.
F. Nakaoka and N. Oda, Some Properties of Maximal Open Sets, International Journal of Mathematics and Mathematical Sciences, 21(2003), 1331-1340.

4.
F. Nakaoka and N. Oda, Minimal closed sets and maximal closed sets, International Journal of Mathematics and Mathematical Sciences, (2006), 1-8.