Between strongly theta-continuous and weakly continuous functions
Abstract
In this paper, we investigate some properties \ of $\theta_{g}$-continuous and weakly $g$-continuous functions
in a topological spaces. Moreover, the relationships with other related functions are investigated.
Downloads
References
A. Al-Omari, T. Noiri, Weak forms of G-α-open sets and decompositions of continuity via grills, Bol. Soc. Paran. Mat. 31(2), 19-29, (2013).
A. Al-Omari and T. Noiri, On θ(I,J) -continuous functions, Rend. Istit. Mat. Univ. Trieste, 44, 399–411, (2012).
A. Al-Omari and T. Noiri, Weakly Φ-continuous functions in grill topological spaces, Hacettepe Journal of Mathematics and Statistics, 41 (6), 785-793, (2012).
W. Dunham, A new closure operator for non-T1 topologies, Kyungpook Math J, 22, 55-60, (1982).
E. Ekici, On A∗ I -sets, CI -sets, C ∗ I -sets and decompositions of continuity in ideal topological spaces, An. Stiint¸. Univ. Al. I. Cuza Iasi Mat. (N. S.), 59 , 173-184, (2013).
S. Fomin, Extensions of topological spaces, Ann. of Math., 44, 471-480, (1943).
N. Levine, A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68, 44-46, (1961).
N. Levine, Generalized closed sets in topology, Rend Circ Mat Palermo, 19„ 89-96, (1970).
S. Modak and T. Noiri, Remarks on locally closed set, Acta et Commentationes Universitatis Tartuensis de Mathematica, 22(1), 57-64, (2018).
S. Modak and T. Noiri, Some generalizations of locally closed sets, Iranian Journal of Mathematical Sciences and Informatics, 14(1), 159-165, (2019).
S. Modak and Sk. Selim, Set operator and associated functions, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 70(1), 456-466, (2021).
T. Noiri, On δ-continuous functions, J. Korean Math. Soc., 16, 161-166, (1980).
D. A. Rose, Weak continuity and almost continuity, Internat. J. Math. Math. Sci., 7 (2), 311-318, (1984).
N. V. Velicko, H-closed topological spaces, Amer. Math. Soc. Transl., 78, 103-118, (1968).
Copyright (c) 2024 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).
