IJPAM: Volume 116, No. 2 (2017)

Title

QUASITOPOLOGICAL GROUPS VIA $\omega$-OPEN SETS

Authors

N. Rajesh$^1$, S. Shanthi$^2$
$^1$Department of Mathematics
Rajah Serfoji Govt. College
Thanjavur, 613005, Tamilnadu, INDIA
$^2$Department of Mathematics
Arignar Anna Govt. Arts College
Namakkal, 637 001, Tamilnadu, INDIA

Abstract

In this paper, we introduce and study a class of topologized groups called $\omega$-topological groups.

History

Received: 2017-05-21
Revised: 2017-08-21
Published: October 7, 2017

AMS Classification, Key Words

AMS Subject Classification: 54C10, 54C08, 54C05
Key Words and Phrases: topological group, $\omega$-open sets

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Bibliography

1
N. Levine, Semiopen sets and semicontinuity in topological spaces, Amer. Math. Monthly, 70 (1963), 36-41.

2
H. Maki, N. Rajesh and S. Shanthi, Characterizations of $\omega$-like closed sets and separation axioms in topological spaces, Under preparation.

3
T. Noiri and V. Popa, A generalization of $\omega$-continuity, Fasciculi Mathematici, 45 (2010), 71-86.

4
P. Sundaram and M. Sheik John, Weakly closed sets and weakly continuous maps in topological spaces, In: Proc. 82-nd Session of the Indian Science Congress, Calcutta, 1995.

5
M. Sheik John, A Study on Generalizations of Closed Sets and Continuous Maps in Topological Spaces, Ph.D. Thesis, Bharathiyar University, Coimbatore, India, 2002.

6
M. Sheik John and P. Sundaram, On decomposition of continuity, Bull. Allahabad Math. Soc., 22 (2007), 1-9.

How to Cite?

DOI: 10.12732/ijpam.v116i2.17 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: 116
Issue: 2
Pages: 457 - 460


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