Abstract
References
- [1] Brooks, F., Indefinite cut sets for real functions. Amer. Math. Monthly 78 (1971), 1007-1010.
- [2] Dontchev, J., The characterization of some peculiar topological space via α− and β−sets. Acta Math. Hungar. 69 (1995), No.1-2, 67-71.
- [3] Dontchev, J., Contra-continuous functions and strongly S-closed space. Intrnat. J. Math. Math. Sci. 19 (1996), No.2, 303-310.
- [4] Dontchev, J., Ganster, M., Reilly, I., More on almost s-continuity. Topology Atlas, Preprint No. 212.
- [5] Dontchev, J., Maki, H., On sg-closed sets and semi−λ−closed sets. Questions Answers Gen. Topology 15 (1997), No.2, 259-266.
- [6] Ganster, M., Reilly, I., A decomposition of continuity. Acta Math. Hungar. 56 (1990), No.3-4, 299-301.
- [7] Katetov, M., On real-valued functions in topological spaces. Fund. Math. 38 (1951), 85-91.
- [8] Katetov, M., Correction to, ”On real-valued functions in topological spaces”. Fund. Math. 40 (1953), 203-205.
- [9] Lane, E., Insertion of a continuous function. Pacific J. Math. 66 (1976), 181-190.
- [10] Maheshwari, S. N., Prasad, R., On ROs−spaces. Portugal. Math. 34 (1975), 213-217.
- [11] Maki, H., Generalized Λ−sets and the associated closure operator. The special Issue in commemoration of Prof. Kazuada IKEDA’s Retirement (1986), 139-146.
- [12] Noiri, T., Super-continuity and some strong forms of continuity. Indian J. Pure Appl. Math. 15 (1984), 241-250.
- [13] Przemski, M., A decomposition of continuity and α−continuity. Acta Math. Hungar. 61(1993), No.1-2, 93-98.
Abstract
A sufficient condition in terms of lower cut sets are given for the
weak insertion of a perfectly continuous function between two comparable realvalued
functions on such topological spaces that Λ−sets are open.
Keywords
Weak insertion Strong binary relation Perfectly continuous function Regular set-connected function Contra-continuous function Clopen sets Λ−sets Lower cut set
References
- [1] Brooks, F., Indefinite cut sets for real functions. Amer. Math. Monthly 78 (1971), 1007-1010.
- [2] Dontchev, J., The characterization of some peculiar topological space via α− and β−sets. Acta Math. Hungar. 69 (1995), No.1-2, 67-71.
- [3] Dontchev, J., Contra-continuous functions and strongly S-closed space. Intrnat. J. Math. Math. Sci. 19 (1996), No.2, 303-310.
- [4] Dontchev, J., Ganster, M., Reilly, I., More on almost s-continuity. Topology Atlas, Preprint No. 212.
- [5] Dontchev, J., Maki, H., On sg-closed sets and semi−λ−closed sets. Questions Answers Gen. Topology 15 (1997), No.2, 259-266.
- [6] Ganster, M., Reilly, I., A decomposition of continuity. Acta Math. Hungar. 56 (1990), No.3-4, 299-301.
- [7] Katetov, M., On real-valued functions in topological spaces. Fund. Math. 38 (1951), 85-91.
- [8] Katetov, M., Correction to, ”On real-valued functions in topological spaces”. Fund. Math. 40 (1953), 203-205.
- [9] Lane, E., Insertion of a continuous function. Pacific J. Math. 66 (1976), 181-190.
- [10] Maheshwari, S. N., Prasad, R., On ROs−spaces. Portugal. Math. 34 (1975), 213-217.
- [11] Maki, H., Generalized Λ−sets and the associated closure operator. The special Issue in commemoration of Prof. Kazuada IKEDA’s Retirement (1986), 139-146.
- [12] Noiri, T., Super-continuity and some strong forms of continuity. Indian J. Pure Appl. Math. 15 (1984), 241-250.
- [13] Przemski, M., A decomposition of continuity and α−continuity. Acta Math. Hungar. 61(1993), No.1-2, 93-98.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Submission Date | June 1, 2014 |
| Publication Date | May 15, 2015 |
| DOI | https://doi.org/10.36753/mathenot.421224 |
| IZ | https://izlik.org/JA27ZH23ZM |
| Published in Issue | Year 2015 Volume: 3 Issue: 1 |
Cite
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