Research Article
I-Continuity in Topological Spaces due to Martin: A Counter-example
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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 |
10.5120/11087-6036
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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
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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