Czasopismo
2013
|
Vol. 46, nr 2
|
415--427
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
In [8], Császár introduced some generalized open sets in generalized topological spaces, namely, µ-semi-open, µ-preopen, µ-β-open, and µ-α-open. The primary purpose of this paper is to study some new properties and characterizations of these concepts as we also introduce and study a new generalized open set in generalized topological spaces, namely, µ-b-open. We also investigate some relationships between these concepts.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
415--427
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
- Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 150459, Zarqa 13115, Jordan, sarsak@hu.edu.jo
Bibliografia
- [1] M. E. Abd El-Monsef, S. N. El-Deeb, R. A. Mahmoud, β-open sets and β-continuous mappings, Bull. Fac. Sci. Assiut Univ. 12 (1983), 77–90.
- [2] B. Al-Nashef, On semipreopen sets, Questions Answers Gen. Topology 19 (2001), 203–212.
- [3] D. Andrijević, Semi-preopen sets, Mat. Vesnik 38 (1986), 24–32.
- [4] D. Andrijević, On b-open sets, Mat. Vesnik 48 (1996), 59–64.
- [5] D. E. Cameron, Properties of S-closed spaces, Proc. Amer. Math. Soc. 72 (1978), 581–586.
- [6] H. H. Corson, E. Michael, Metrizability of certain countable unions, Illinois J. Math. 8 (1964), 351–360.
- [7] Á. Császár, Generalized topology, generalized continuity, Acta Math. Hungar. 96 (2002), 351–357.
- [8] Á. Császár, Generalized open sets in generalized topologies, Acta Math. Hungar. 106(1-2) (2005), 53–66.
- [9] Á. Császár, Further remarks on the formula for γ-interior, Acta Math. Hungar. 113 (2006), 325–332.
- [10] Á. Császár, Remarks on quasi topologies, Acta Math. Hungar. 119(1-2) (2008), 197–200.
- [11] Di Maio, T. Noiri, On s-closed spaces, Indian J. Pure Appl. Math. 18(3) (1987), 226–233.
- [12] R. Engelking, General Topology, 2nd ed., Sigma Series in Pure Mathematics 6, Heldermann, Berlin, 1989.
- [13] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36–41.
- [14] A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt 53 (1982), 47–53.
- [15] O. Njastad, On some classes of nearly open sets, Pacific J. Math. 15 (1965), 961–970.
- [16] T. Noiri, Unified characterizations for modifications of R0 and R1 topological spaces, Rend. Circ. Mat. Palermo (2) 55 (2006), 29–42.
- [17] M. S. Sarsak, On b-open sets and associated generalized open sets, Questions Answers Gen. Topology 27(2) (2009), 157–173.
- [18] M. S. Sarsak, Weakly µ-compact spaces, Demonstratio Math. 45(4) (2012), 929–938.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-91b3d13f-7728-452b-b952-8ff6b6667ae2