International Journal of Mathematics Trends and Technology
Volume 12 | Number 1 | Year 2014 | Article Id. IJMTT-V12P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V12P501
In this paper, we introduce new concepts, namely semi*α-connectedness and semi*α-compactness using semi*α-open sets. We investigate their basic properties. We also discuss their relationships with already existing concepts of connectedness and compactness.
[1] Das, P., I .J .M. M. 12, 1974, 31-34.
[2] Dorsett, C., Semi compactness, semi separation axioms, and product spaces, Bulletin of the Malaysian Mathematical Sciences Society, 4 (1), 1981, 21–28.
[3] Hanna, F., Dorsett, C., Semi compactness, Q&A in General Topology 2, 1984, 38-47.
[4] Ganster, M., Some Remarks on Strongly compact and Semi compact spaces, Bulletin of the Malaysian Mathematical Sciences Soceity, 10 (2), 1987, 67–81.
[5] Pasunkili Pandian,S., A Study on Semi Star-Preopen Sets in Topological Spaces, Ph.D Thesis, Manonmaniam Sundaranar University, Tirunelveli, India, 2013.
[6] Robert, A. and Pious Missier, S., On Semi*-Connected and Semi*-Compact Spaces, International Journal of Modern Engineering Research, Vol.2, Issue.4, July-Aug 2012 pp-2852-2856
[7] Robert, A. and Pious Missier, S., A New Class of sets weaker than α-open sets, International Journal of Mathematics and Soft Computing, 4(2) (2014), 197-206.
[8] Robert, A and Pious Missier, S., Between α-closed sets and semi α-closed sets, International Journal of Modern Engineering Research, 4(6) 2014, 34-41.
[9] Levine,N., Generalized closed sets in topology , Rend. Circ. Mat. Palermo. 19(2), 1970, 89-96.
[10] Dunham, W., A new closure operator for Non-T1 topologies, Kyungpook Math. J. 22, 1982, 55-60.
[11] Levine, N., Semi-open sets and semi-continuity in topological space , Amer. Math.Monthly.,70,1963,36-41.
[12] Njastad, O., Some Classes of Nearly Open Sets, Pacific J. Math., 15 (3) (1965), 961-970.
[13] Navalagi, G.B., Definition Bank in General Topology, Topology Atlas (2000).
[14] Andrijevic, D., Semi-Preopen Sets, Mat. Vesnik, 38(1986), 24-32.
[15] Robert, A. and Pious Missier, S., A New Class of Nearly Open Sets, International Journal of Mathematical Archive., 3(7), 2012, 1-8.
[16] Othman,H. A., New types of α-continuous mapping, Master Degree Thesis, Al-Mustansiriya University, IRAQ (2004).
[17] Robert, A. and Pious Missier, S., On Semi*-closed sets, Asian Journal Of Current Engineering And Maths., 1 (4) (2012), 173-176.
[18] Pious Missier, S. and Robert, A., New Notions via Semi-Star-Alpha-Open Sets.(communicated)
[19] Willard, S., General Topology, Addison – Wesley Publishing Company, Inc, 1970.
[20] Pious Missier, S. and Robert, A., Semi-Star-Alpha-Open Sets and Associated Functions.(communicated).
A. Robert, S. Pious Missier, "Connectedness and Compactness via Semi-Star-Alpha-Open Sets," International Journal of Mathematics Trends and Technology (IJMTT), vol. 12, no. 1, pp. 1-7, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V12P501
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