On (…)-perfectly continuous functions

• Autorzy: Bayhan, S. , Kanibir, A. , Reilly, I. L.
• Języki publikacji: EN

Abstrakty

EN

Recently the class of (…)-perfectly continuous functions between topological spaces has been introduced and studied in some detail. In this paper we consider this class of functions from the point of view of change of topology. In particular, we demonstrate that the concept of (…)-perfect continuity coincides with the notion of perfect continuity when the codomain of the function under consideration has been retopologized appropriately. This paper considers some of the consequences of this fact.

Słowa kluczowe

EN

change of topology; perfect continuity; semi-regularization

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 1
• Strony: 179-186
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Bayhan, S.

autor

Kanibir, A.

autor

Reilly, I. L.

• Department Of Mathematics Mehmet Akif Ersoy University 15030, Istiklal Campus, Burdur, Turkey,

Bibliografia

• [1] P. Alexandroff, Discrete Räume, Mat. Sb. 2 (1937), 501–518.
• [2] D. Carnahan, Locally nearly compact spaces, Boll. Un. Mat. Ital. 4 (1972), 146–153.
• [3] J. Dontchev, M. Ganster, I. L. Reilly, More on almost s-continuity, Indian J. Math. 41 (1999), 139–146.
• [4] J. Dontchev, Contra-continuous functions and strongly s-closed spaces, Internat. J. Math. Math. Sci. 19(2) (1996), 303–310.
• [5] J. Dugundji, Topology, Allyn and Bacon, Boston, Mass. 1966.
• [6] L. L. Herrington, Properties of nearly compact spaces, Proc. Amer. Math. Soc. 45 (1974), 431–436.
• [7] J. K. Kohli, D. Singh, _ -perfectly continuous functions, Demonstratio Math. 42(1) (2009), 221–231.
• [8] J. K. Kohli, D. Singh, C. P. Arya, Perfectly continuous functions, Stud. Cerc. Mat. 18 (2008), 99–110.
• [9] M. Mrsevic, I. L. Reilly, M. K. Vamanamurthy, On semi-regularization topologies, J. Austral. Math. Soc. A 38 (1985), 40–54.
• [10] B. M. Munshi, D. S. Bassan, Super-continuous mappings, Indian J. Pure Appl. Math. 13 (1982), 229–236.
• [11] T. Noiri, On _ -continuous functions, J. Korean Math. Soc. 16 (1980), 161–166.
• [12] T. Noiri, Supercontinuity and some strong forms of continuity, Indian J. Pure. Appl. Math. 15(3) (1984), 241–250.
• [13] A. Sostak, On a class of topological spaces containing all bicompact and connected spaces, General Topology and its relation to modern analysis and algebra IV: Proceedings of the 4th Prague Topological Symposium, (1976), Part B, 445–451.
• [14] R. Staum, The algebra of bounded continuous functions into a nonarchimedean field, Pacific J. Math. 50 (1974), 169–185.
• [15] N. Velicko, H-closed topological spaces, Amer. Math. Soc. Transl. 78(2) (1968), 103–118.