Between strongly theta-continuous and weakly continuous functions
DOI:
https://doi.org/10.5269/bspm.62475Resumo
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.
Referências
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3. 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).
4. W. Dunham, A new closure operator for non-T1 topologies, Kyungpook Math J, 22, 55-60, (1982).
5. 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).
6. S. Fomin, Extensions of topological spaces, Ann. of Math., 44, 471-480, (1943).
7. N. Levine, A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68, 44-46, (1961).
8. N. Levine, Generalized closed sets in topology, Rend Circ Mat Palermo, 19„ 89-96, (1970).
9. S. Modak and T. Noiri, Remarks on locally closed set, Acta et Commentationes Universitatis Tartuensis de Mathematica, 22(1), 57-64, (2018).
10. S. Modak and T. Noiri, Some generalizations of locally closed sets, Iranian Journal of Mathematical Sciences and Informatics, 14(1), 159-165, (2019).
11. S. Modak and Sk. Selim, Set operator and associated functions, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 70(1), 456-466, (2021).
12. T. Noiri, On δ-continuous functions, J. Korean Math. Soc., 16, 161-166, (1980).
13. D. A. Rose, Weak continuity and almost continuity, Internat. J. Math. Math. Sci., 7 (2), 311-318, (1984).
14. N. V. Velicko, H-closed topological spaces, Amer. Math. Soc. Transl., 78, 103-118, (1968).
 
2. A. Al-Omari and T. Noiri, On θ(I,J) -continuous functions, Rend. Istit. Mat. Univ. Trieste, 44, 399–411, (2012).
3. 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).
4. W. Dunham, A new closure operator for non-T1 topologies, Kyungpook Math J, 22, 55-60, (1982).
5. 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).
6. S. Fomin, Extensions of topological spaces, Ann. of Math., 44, 471-480, (1943).
7. N. Levine, A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68, 44-46, (1961).
8. N. Levine, Generalized closed sets in topology, Rend Circ Mat Palermo, 19„ 89-96, (1970).
9. S. Modak and T. Noiri, Remarks on locally closed set, Acta et Commentationes Universitatis Tartuensis de Mathematica, 22(1), 57-64, (2018).
10. S. Modak and T. Noiri, Some generalizations of locally closed sets, Iranian Journal of Mathematical Sciences and Informatics, 14(1), 159-165, (2019).
11. S. Modak and Sk. Selim, Set operator and associated functions, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 70(1), 456-466, (2021).
12. T. Noiri, On δ-continuous functions, J. Korean Math. Soc., 16, 161-166, (1980).
13. D. A. Rose, Weak continuity and almost continuity, Internat. J. Math. Math. Sci., 7 (2), 311-318, (1984).
14. N. V. Velicko, H-closed topological spaces, Amer. Math. Soc. Transl., 78, 103-118, (1968).
 
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2024-05-03
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