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

by P. L. Powar, Pratibha Dubey
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 66 - Number 6
Year of Publication: 2013
Authors: P. L. Powar, Pratibha Dubey
10.5120/11087-6036

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 },
issue_date = { March 2013 },
volume = { 66 },
number = { 6 },
month = { March },
year = { 2013 },
issn = { 0975-8887 },
pages = { 11-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume66/number6/11087-6036/ },
doi = { 10.5120/11087-6036 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:21:55.909423+05:30
%A P. L. Powar
%A Pratibha Dubey
%T I-Continuity in Topological Spaces due to Martin: A Counter-example
%J International Journal of Computer Applications
%@ 0975-8887
%V 66
%N 6
%P 11-13
%D 2013
%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
  1. Balaz V. , Cervenansky J. , Kostyrko Salat T. , I-convergence and I-continuity of real functions,Acta Mathematica, Faculty of Natural Sciences Constantine the Philosopher University Nitra 5 (2002), 43-50.
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  9. Power P. L. , Rajak K. , Some new concepts of continuity in generalized topological space, International Journal of Computer Application, volume 38 NO. 5, January 2012, ISSN NO. 0975-8887 (online).
  10. Sleziak Martin, I-continuity in topological spaces, Acta Mathematica, Faculty of Natural Sciences Constantine the Philosopher University Nitra, 6 (2003) , 115-122.
Index Terms

Computer Science
Information Sciences

Keywords

Ideal I-convergence I-continuity

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