International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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Volume 66 - Issue 6 |
Published: March 2013 |
Authors: P. L. Powar, Pratibha Dubey |
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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
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.