IJPAM: Volume 113, No. 2 (2017)

Title

NEW APPROACHES ABOUT $I-$CONTINUOUS FUNCTIONS
IN IDEAL TOPOLOGICAL SPACES

Authors

Ayşe Çobankaya$^1$, Fİkret Kuyucu$^2$, Selahattİn Kilinç$^3$
$^{1,3}$Department of Mathematics
Faculty of Science and Literature
Çukurova University
Adana, TURKEY
$^2$Gurselpaşa Neighborhood
75494 street. Akgul 15 No: 2, Adana, TURKEY

Abstract

In [2], Özkurt introduced and investigated the new notion $I-$continuity. We introduce the notions $I_{w}-$continuity, $I_{\theta}-$continuity, $I_{{w}^{*}}-$continuity. In this paper, we investigate relations among continuous function, $\theta-$continuous function and these new continuous function.

History

Received: November 5, 2016
Revised: January 9, 2017
Published: March 19, 2017

AMS Classification, Key Words

AMS Subject Classification: 54C05, 54C08, 54C10, 54E52
Key Words and Phrases: $I-$continuous function, $I_{\theta}-$continuous function, $I_{w}-$continuous function, $I_{{w}^{*}}-$continuous function, ${\theta}-$continuous function.

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Bibliography

1
A. Açıkgöz, T.Noiri and Ş. Yüksel, A decomposition of continuity in ideal topological spaces, Acta Math. Hungar., 105, No. 4 (2004), 285-289.

1
A. Özkurt, Some generalizations of local continuity im ideal topological spaces, Scientific Studies and Research Series Mathematics and Informatics, 24, No. 1 (2014) 75-80.

1
D. Jankovic and T.R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-310.

1
E. Hayashi, Topologies defined by local properties, Math. Ann., 156 (1964), 205-215.

1
K. Kuratowski, Topology, New York, Academic Press, 1966.

1
M.E. Abd El-Monsef, E.F. Lashien and A.A. Nasef, On $I-$ open sets and $I-$ continuous functions, Kyungpook Math. J., 32, No. 1 (1992), 21-30.

1
N. Levine, A decomposition of continuity in topological spaces, Amer. Math. Montly., 68 (1961), 44-46.

1
S. Fomin, Extensions of topological spaces, Ann. of Math., 44 (1943), 471-480.

1
R. Vaidyanathaswamy, The localisation theory in set topology, Proc. Indian Acad. Sci., 20 (1945), 51-61.

How to Cite?

DOI: 10.12732/ijpam.v113i2.9 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 2
Pages: 291 - 297


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