Research Article

I-Continuity in Topological Spaces due to Martin: A Counter-example

by  P. L. Powar, Pratibha Dubey
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 66 - Issue 6
Published: March 2013
Authors: P. L. Powar, Pratibha Dubey
10.5120/11087-6036
PDF

P. L. Powar, Pratibha Dubey . I-Continuity in Topological Spaces due to Martin: A Counter-example. International Journal of Computer Applications. 66, 6 (March 2013), 11-13. DOI=10.5120/11087-6036

                        @article{ 10.5120/11087-6036,
                        author  = { P. L. Powar,Pratibha Dubey },
                        title   = { I-Continuity in Topological Spaces due to Martin: A Counter-example },
                        journal = { International Journal of Computer Applications },
                        year    = { 2013 },
                        volume  = { 66 },
                        number  = { 6 },
                        pages   = { 11-13 },
                        doi     = { 10.5120/11087-6036 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2013
                        %A P. L. Powar
                        %A Pratibha Dubey
                        %T I-Continuity in Topological Spaces due to Martin: A Counter-example%T 
                        %J International Journal of Computer Applications
                        %V 66
                        %N 6
                        %P 11-13
                        %R 10.5120/11087-6036
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

Martin (I-continuity in topological spaces, Acta Mathematica, Faculty of Natural Sciences Constantine the Philosopher University Nitra, 6 (2003), 115-122. ) has introduced an interesting concept of I-continuity of a function f . In this paper, a counter example to the assertion of Martin has been discussed which he has established in his result (Theorem 2. 2), stating that continuity implies I-continuity. It has been noticed that only the homeomorphism of f implies I-continuity of f.

References
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Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Ideal I-convergence I-continuity

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