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Abstrakty
The aim of this paper is devoted to introduce and studya new class of generalized closed sets, namely strongly generalized preclosed sets which is weaker than both of preclosed sets and g* - closed sets (M.K. Kumar, 1999). Moreover, we investigate some properties such as strongly generalized precontinuous and strongly generalized preclosed maps via strongly generalized preclosedness.
Czasopismo
Rocznik
Tom
Strony
23--34
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
- Department of Mathematics Faculty of Science Kafr El-Sheikh University Kafr El-Sheikh, Egypt
autor
- Departement of Mathematics Faculty of Science Taibah University AL-Madinah AL-Munawarah P. O. BOX, 344, K. S. A
autor
- College of Vestsjaelland Sout Herrestraede 11 4200 Slagelse, Denmark
Bibliografia
- [1] Abd EL-Monsef M.E., Studies on Some Pretopological Concepts, Ph.D. Thesis, Tanta Univ. (1980).
- [2] Andrijeyic D., Semi-preopen sets, Mat. Vesnik, 38(1)(1986), 24-32.
- [3] Andrijevic D., On b-open sets, Mat. Vesnik, 48(1)(1996), 59-64.
- [4] Arockiarani I., Balachandran K., Dontchev J., Some characterizations of g-irresolute and gp-continuous maps between topological spaces, Mem. Fac. Sci. Kochi Univ. (Math.), 20(1999), 93-104.
- [5] Balachandran K., Arockiarani I., On generalized preclosed sets, ( Preprint) .
- [6] Balachandran K., Sundaram P., Maki H., On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ., 12(1991), 5-13.
- [7] Dontchev J., On generalizing semi-preopen sets, J. Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 16(1995), 35-48.
- [8] EL-Atik A.A., A Study of Some Types of Mappings on Topological Spaces, M. Sc. Thesis, Tanta Univ. (1997).
- [9] EL-Deeb N.S., Hassanein I.A., Mashhour A.S., Noiri T., On p-regular spaces, Math. Soc. Sci. Math. R.S. Roumaine (N.S.), 27(75)(1983), 311-315.
- [10] EL-Maghrabi A.I., Strongly y—generalized closed sets and strongly y — T1/2- spaces, INFORMATION: An international Journal ISSN1343-4500 (Tokyo), 12(3)(2009), 473-484.
- [11] Fukutake T., Nasef A.A., EL-Maghrabi A.I., Some topological concepts via y— generalized closed sets, Bulletin of Fukuoka Univ.of Education, Part III, 52(2003), 1-9.
- [12] Gnanambal Y., On generalized preregular closed sets in topological spaces, Indian J. Pure Appl. Math., 28(3)(1997), 351-360.
- [13] Jankovic D., Reilly I., On semi-separation properties, Indian J. Pure. Appl. Math., 16(9)(1985), 957-964.
- [14] Kumar M., Between closed sets and g-closed sets, Mem. Fac. Sci. Kochi Univ. (Math.), 21(2000), 1-9.
- [15] Levine N., Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(2)(1970), 89-96.
- [16] Maki H., Sundaram P., On generalized homeomorphisms, Bull. Fukuoka Univ. Ed., Part III, 40(1991), 13-21.
- [17] Mashhour A.S., Monsef M.E., EL-Deeb S.N., On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt., 53(1982), 47-53.
- [18] Noiri T., Maki H., Umehara J., Generalized preclosed functions, Mem. Fac. Sci. Kochi Univ. (Math.), 19(1998), 13-30.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-327e49f9-37ee-42f0-bcce-f3f4e0de8f03