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Article:Study of g-a-irresolute Functions in the Special Class of Generalized Topological Space

by P. L. Powar1
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 31 - Number 8
Year of Publication: 2011
Authors: P. L. Powar1
10.5120/3842-5343

P. L. Powar1 . Article:Study of g-a-irresolute Functions in the Special Class of Generalized Topological Space. International Journal of Computer Applications. 31, 8 ( October 2011), 1-5. DOI=10.5120/3842-5343

@article{ 10.5120/3842-5343,
author = { P. L. Powar1 },
title = { Article:Study of g-a-irresolute Functions in the Special Class of Generalized Topological Space },
journal = { International Journal of Computer Applications },
issue_date = { October 2011 },
volume = { 31 },
number = { 8 },
month = { October },
year = { 2011 },
issn = { 0975-8887 },
pages = { 1-5 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume31/number8/3842-5343/ },
doi = { 10.5120/3842-5343 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:17:34.057240+05:30
%A P. L. Powar1
%T Article:Study of g-a-irresolute Functions in the Special Class of Generalized Topological Space
%J International Journal of Computer Applications
%@ 0975-8887
%V 31
%N 8
%P 1-5
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

It has been studied that, the fine-irresolute mapping introduced in [13] includes all mappings defined by Császár (cf. [5]) in a fine space which is a special case of generalized topological space. It has been also noted that g-α-irresolute function defined by Bai et al [1] is also included in the same fine-irresolute mapping.

References
  1. Bai, S.Z. and Zuo, Y.P., On g- α-irresolute functions, Acta Mathematica Hungarica, 2011, 130(4), 382-389.
  2. Benchalli S.S., Patil P. G., Some new continuous maps in topological spaces, Journal of Advanced Studies in Topology, 2010, 1(2), 16-21.
  3. Császár, A., Generalized topology, generalized continuity, Acta Mathematica Hungarica, 2002, 96, 351-357.
  4. Császár, A., Generalized open sets in generalized topologies, Acta Mathematica Hungarica, 2005, 106, 53-66.
  5. Császár, A., γ- connected sets, Acta Mathematica. Hungarica, 2003, 101, 273-279.
  6. Devi R., Vigneshwaran, *gαc-homeomorphisms in topological spaces, Int. Journal of Computer Applications, 2010, 3(6), 0975-8887.
  7. Kanbir, I.L. Reilly, On Almost clopen continuity, Acta Mathematica Hungarica, 2011, 130(4), 363-371.
  8. Kohli J. K., Singh D., Between strong continuity and almost continuity, Applied General Topology, 2010, 11(1),29-42.
  9. Min, W.K., Weak continuity on generalized topological spaces, Acta Mathematica Hungarica, 2009, 124, 73-81.
  10. Min, W.K., Almost continuity on generalized topological spaces, Acta Mathematica Hungarica, 2009, 125, 121-125.
  11. Naschie El, M. S., Quantum gravity from descriptive set theory, Chaos, Solitons and Fractals, 2004, 19,, 1339-1344.$
  12. Noiri T., Roy B., Unification of generalized open sets of topological spaces, Acta Mathematica Hungarrica, 2011, 130(4), 349-357.
  13. Powar, P.L. and Rajak, K., Fine-irresolute Mappings, (Communicated).
Index Terms

Computer Science
Information Sciences

Keywords

Fine open set g-open set g-α-open set g-β-open set g-preopen set g-semiopen set g-α-continuity fine-continuity fine space generalized topological space

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