Weakly ž-compact spaces

• Autorzy: Sarbak M. S.
• Języki publikacji: EN

Abstrakty

EN

We introduce and study weakly ž-compact ž-space, i.e. ž-space (X, ž) in which every cover of X by ž-open sets has a finite subfamily the union of the ž-closures of whose members covers X.

Słowa kluczowe

EN

ž-open; ž-closed; generalized topology

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 4
• Strony: 929--938
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Sarbak M. S.

• Department Of Mathematics Faculty Of Science The Hashemite University P.O. Box 150459, Zarqa 13115, Jordan,

Bibliografia

• [1] Á. Császár, Generalized topology, generalized continuity, Acta Math. Hungar. 96 (2002), 351–357.
• [2] Á. Császár, Generalized open sets in generalized topologies, Acta Math. Hungar. 106(1-2) (2005), 53–66.
• [3] Á. Császár, Further remarks on the formula for -interior, Acta Math. Hungar. 113 (2006), 325–332.
• [4] Á. Császár, Remarks on quasi topologies, Acta Math. Hungar. 119(1-2) (2008), 197–200.
• [5] J. Dontchev, M. Ganster, T. Noiri, On p-closed spaces, Internat. J. Math. Math. Sci. 24(3) (2000), 203–212.
• [6] R. Engelking, General Topology, Second edition, Sigma Series in Pure Mathematics 6, Heldermann Verlag, Berlin, 1989.
• [7] E. D. Khalimsky, R. Kopperman, P. R. Meyer, Computer graphics and connected topologies on finite ordered sets, Topology Appl. 36 (1990), 1–17.
• [8] 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.
• [9] T. Noiri, Unified characterizations for modifications of R0 and R1 topological spaces, Rend. Circ. Mat. Palermo (2) 55 (2006), 29–42.
• [10] J. R. Porter, R. G. Woods, Extentions and Absolutes of Hausdorff Spaces, Springer Verlag, New York, 1988.
• [11] M. S. Sarsak, An answer to some questions of Dontchev, Ganster and Noiri on p-closed spaces, Questions Answers Gen. Topology 28(1) (2010), 97–103.
• [12] M. S. Sarsak, Weak separation axioms in generalized topological spaces, Acta Math. Hungar. 131(1-2) (2011), 110–121.
• [13] M. S. Sarsak, On µ-compact sets in µ-spaces, submitted.