On h-open sets and h-continuous functions
DOI:
https://doi.org/10.5269/bspm.51006Abstract
The aim of this paper is to introduce a new class of open sets called h-open sets. Also, introduce and study topological properties of hinterior, h-closure, h-limit points, h-derived, h-interior points, h-border, h-frontier and h-exterior by using the concept of h-open sets. Moreover introduce the notion of h-continuous functions, h-open functions, hirresolute functions, h-totally continuous functions, h-contra-continuous functions, h-homeomorphism and investigate some properties of these functions and study some properties, remarks related to them.
References
[1] E. Ekici and M. Caldas, Slightly continuous functions, Bol. Soc. Para Mat., 22(2004), 63-74.
[2] J. Donchev, Contra continuous functions and strongly S-closed spaces, Internat. J. Math. Math. Sci., 19 (1996), 303-310.
[3] N. Biswas, Some mappings in topological spaces, Bull. Cal. Math. Soc., 61 (1969), 127-133.
[4] O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
[5] R. L. Ellis, A non-Archimedean analogue of the Tietze-Urysohn extension theorem, Nederl. Akad. Wetensch. Proc. Ser.A, 70 (1967), 332-333.
[6] R. Staum, The algebra of bounded continuous functions into a nonarchimedean field, Pacific J. Math., 50 (1974), 169-185.
[7] S. N. Maheshwari and R. Prasad, On s-normal spaces, Bull. Math. Soc. Sci. Math. R. S. Roumanie (N. S.), 22(1978), 27-29.
[8] J. Tong, On decomposition of continuity in topological spaces, Acta Math. Hungar. 54, no. 12(1989), 51-55.
[9] T. Noiri, Super continuity and some strong forms of continuity, Indian J. Pure Appl. Math., 15(1984), 241-250.
[2] J. Donchev, Contra continuous functions and strongly S-closed spaces, Internat. J. Math. Math. Sci., 19 (1996), 303-310.
[3] N. Biswas, Some mappings in topological spaces, Bull. Cal. Math. Soc., 61 (1969), 127-133.
[4] O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
[5] R. L. Ellis, A non-Archimedean analogue of the Tietze-Urysohn extension theorem, Nederl. Akad. Wetensch. Proc. Ser.A, 70 (1967), 332-333.
[6] R. Staum, The algebra of bounded continuous functions into a nonarchimedean field, Pacific J. Math., 50 (1974), 169-185.
[7] S. N. Maheshwari and R. Prasad, On s-normal spaces, Bull. Math. Soc. Sci. Math. R. S. Roumanie (N. S.), 22(1978), 27-29.
[8] J. Tong, On decomposition of continuity in topological spaces, Acta Math. Hungar. 54, no. 12(1989), 51-55.
[9] T. Noiri, Super continuity and some strong forms of continuity, Indian J. Pure Appl. Math., 15(1984), 241-250.
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2022-12-26
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