A decomposition of pairwise continuity via ideals
Resumen
In this paper, we introduce and study the notions of (i, j) - regular - ℐ -closed sets, (i, j) - Aℐ -sets, (i, j) - ℐ -locally closed sets, p- Aℐ -continuous functions and p- ℐ -LC-continuous functions in ideal bitopological spaces and investigate some of their properties. Also, a new decomposition of pairwise continuity is obtained using these sets.
Descargas
Citas
M. E. Abd El-Monsef, E. F. Lashien and A. A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math. J., 32(1992), 21-30.
J. Dontchev, Idealization of Ganster-Reilly decomposition theorems, arXiv:Math/9901017v1 5 Jan. 1999(Internet).
B. Dvalishvili, On dimension and some other problems of bitopological spaces, Trudi Tbil. Math. Instituta, T.LVI(1977), 15-52.
E. Hatir and T. Noiri, On decompositions of continuity via idealization, Acta Math. Hungar., 96(4)(2002), 341-349.
E. Hayashi, Topologies defined by local properties, Math. Ann., 156(1964), 205-215.
D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(1990), 295-310.
D. Jankovic and T. R. Hamlett, Compatible extension of ideals, Boll. U. M. I., (7)6-B(3)(1992), 453-465.
M. Jelic, A decomposition of pairwise continuity, J. Inst. Math. Comput. Sci. Math, Ser. 3(1990), 25-29.
J. Kelly, Bitopological spaces, Proc. London Math. Soc., 13(1963), 71-89.
A. Keskin, T. Noiri and S. Yuksel, Idealization of a decomposition theorem, Acta Math. Hungar., 102(4)(2004), 269-277.
K. Kuratowski, Topology, Vol. I, Academic Press, New York, (1966).
S. N. Maheshwari and R. Prasad, Semi-open sets and semi-continuous function in bitopological spaces, Math Notae, 26 (1977-78), 29-37.
W. J. Pervin, Connectedness in bitopological spaces, Indag. Math. 29 (1967), 369-372.
M. Rajamani, V. Inthumathi and M. Maheswari, Decompositions of pairwise continuity in ideal bitopological spaces, J. Adv. Res. Pure Math., 4(3) (2012), 8-18.
S. Sampath Kumar, On decomposition of pairwise continuity, Bull. Cal. Math. Soc. 89 (1997), 441-446.
P. Sundaram and M. Rajamani, Another Decomposition of pairwise continuity, Proc. of the Annual Conference of KMA and International Seminar on Mathematics Tradition of Kerala, St. Dominic’s College, Kanjirapally, Jan. 17-19(2000), 70-71.
R. Vaidyanathaswamy, The localisation theory in set topology, Proc. Indian Acad. Sci. 20(1945), 51-61.
R. Vaidyanathaswamy, Set Topology, Chelsea Publishing Company, New York, 1960.
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).