On h-open sets and h-continuous functions
Resumo
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.
Downloads
Referências
E. Ekici and M. Caldas, Slightly continuous functions, Bol. Soc. Para Mat., 22(2004), 63-74.
J. Donchev, Contra continuous functions and strongly S-closed spaces, Internat. J. Math. Math. Sci., 19 (1996), 303-310. DOI: https://doi.org/10.1155/S0161171296000427
N. Biswas, Some mappings in topological spaces, Bull. Cal. Math. Soc., 61 (1969), 127-133.
O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970. DOI: https://doi.org/10.2140/pjm.1965.15.961
R. L. Ellis, A non-Archimedean analogue of the Tietze-Urysohn extension theorem, Nederl. Akad. Wetensch. Proc. Ser.A, 70 (1967), 332-333. DOI: https://doi.org/10.1016/S1385-7258(67)50046-X
R. Staum, The algebra of bounded continuous functions into a nonarchimedean field, Pacific J. Math., 50 (1974), 169-185. DOI: https://doi.org/10.2140/pjm.1974.50.169
S. N. Maheshwari and R. Prasad, On s-normal spaces, Bull. Math. Soc. Sci. Math. R. S. Roumanie (N. S.), 22(1978), 27-29.
J. Tong, On decomposition of continuity in topological spaces, Acta Math. Hungar. 54, no. 12(1989), 51-55. DOI: https://doi.org/10.1007/BF01950708
T. Noiri, Super continuity and some strong forms of continuity, Indian J. Pure Appl. Math., 15(1984), 241-250.
Copyright (c) 2022 Boletim da Sociedade Paranaense de Matemática

This work is licensed under a Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).