Research Article

On Generalized Closure Operators in Generalized Topological Spaces

by  B. K. Tyagi, Rachna
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 82 - Issue 15
Published: November 2013
Authors: B. K. Tyagi, Rachna
10.5120/14236-2128
PDF

B. K. Tyagi, Rachna . On Generalized Closure Operators in Generalized Topological Spaces. International Journal of Computer Applications. 82, 15 (November 2013), 1-5. DOI=10.5120/14236-2128

                        @article{ 10.5120/14236-2128,
                        author  = { B. K. Tyagi,Rachna },
                        title   = { On Generalized Closure Operators in Generalized Topological Spaces },
                        journal = { International Journal of Computer Applications },
                        year    = { 2013 },
                        volume  = { 82 },
                        number  = { 15 },
                        pages   = { 1-5 },
                        doi     = { 10.5120/14236-2128 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2013
                        %A B. K. Tyagi
                        %A Rachna
                        %T On Generalized Closure Operators in Generalized Topological Spaces%T 
                        %J International Journal of Computer Applications
                        %V 82
                        %N 15
                        %P 1-5
                        %R 10.5120/14236-2128
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, you study (strong) generalized closure operators and their interactions with generalized topologies, (strong) generalized interior operators (ascending, complete) generalized neighbourhood systems and extend the commuting diagram of Cao, Wang andWang [1] to include strong generalized closure operators.

References
  • B. Wang C. Cao and W. Wang. Generalized topologies, generalized neighbourhood systems and generalized interior operators. Acta Math. Hungar, 132(4):310–315, oct 2011.
  • A. Cs´asz´ar. Generalized topology, generalized continuity. Acta Math. Hunger, 19:351–357, 2002.
  • A. Cs´asz´ar. On generalized neighbourhood systems. Acta Math. Hunger, 2:395–400, 2008.
  • W. K. Min. Some results on generalized topological spaces and generalized systems. Acta Math. Hungar. , 108(1-2):171–181, 2008.
  • R. Shen. Complete generalized neighbourhood system. Acta Math. Hungar. , 129(1-2):160–165, 2010.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Generalized topological spaces (strong) Generalized closure and interior operators (Ascending Complete) Generalized neighbourhoods systems

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