Properties of ω-continuous functions

• Autorzy: Rajesh N. , Sudha P.

Identyfikatory

DOI

10.1515/fascmath-2015-0021

• Języki publikacji: EN

Abstrakty

EN

In [9] the authors, introduced the notion of ω-continuity and investigated its fundamental properties. In this paper, we investigate some more properties of this type of continuity.

Słowa kluczowe

EN

topological spaces; ω-open sets; ω-continuous functions; ω-quotient functions

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2015
• Tom: Nr 55
• Strony: 171--182
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Rajesh N.

• Department of Mathematics Rajah Serfoji Govt. College Thanjavur-613005, Tamilnadu, India

autor

Sudha P.

• Department of Mathematics Pavendar Bharathidasan College of Engg. and Tech. Trichy-620024, Tamilnadu, India

Bibliografia

• [1] Crossley S.G., Hildebrand S.K., Semi-closure, Texas J. Sci, 22(1971), 99-112.
• [2] Levine N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
• [3] Maki H., Sundaram P., Rajesh N., Characterizations of ω-T_i topological spaces, where i Є {0, ½, 1, 2}, ..., (under preparation).
• [4] Noiri T., Popa V., A generalization of w-continuity, Fasc. Math., 45(2010), 71-86.
• [5] Noiri T., Popa V., On m-D-separation axioms, The Journal of Math. Univ. Istanbul, 61-62(2002-2003), 15-28.
• [6] Popa V., Noiri T., On the definitions of some generalized forms of continuity under minimal conditions, Mem. Fac. Sci. Kochi Univ. Ser. A Math., 22(2001), 9-18.
• [7] Sheik John M., A study on generalizations of closed sets and continuous maps in topological spaces, Ph.D. Thesis, Bharathiyar University, Coimbatore, India (2002).
• [8] Sheik John M., Sundaram P., On decomposition of continuity, Bull. Allahabad Math. Soc., 22(2007), 1-9.
• [9] Sundaram P., Sheik John M., Weakly closed sets and weakly continuous maps in topological spaces, 82nd Indian Science Congress, Calcutta, (1995), pp. 49.