Connected and Hyperconnected Generalized Topological Spaces

Subject Areas : History and biography

I. Basdouri ¹ (Departement de Mathematiques, Faculte des Sciences de Gafsa, Zarroug 2112 Gafsa, Tunisie)
R. Messaoud ² (Departement de Mathematiques, Faculte des Sciences de Gafsa, Zarroug 2112 Gafsa, Tunisie)
A. Missaoui ³ (Departement de Mathematiques, Faculte des Sciences de Gafsa, Zarroug 2112 Gafsa, Tunisie)

Received: 2016-07-09 Accepted : 2016-10-20 Published : 2016-12-01

Keywords:

References:

[1] E. Bouacida, O. Echi, E. Salhi, Topologies associees a une relation binaire et relation binaire spectrale. Bollettino della Unione Mathematica Italiana (7), 10-B (1996), 417-439.

[2] E. Bouassida, B. Ghanmi, R. Messaoud, A. Missaoui, Generalized superconnectedness, Journal of Linear and Topological Algebra, 04 (04) (2015), 267-273.

[3] E. CECH, Topologicke prostory. Cas. pest, mat., 66 (1936-37), 225-264.

[4] A. Csazar, Generalized topology, generalized continuity, Acta math. Hungar., 96 (2002), 351-357.

[5] A. Csazar, Generalized open sets in generalized topologies, Acta math. Hungar., 106 (2005), 53-66.

[6] A. Csazar, Grundlagen der allgemeinen Topologie. Budapest 1963.

[7] A. Csazar, Weak structres, Acta math. Hungar 131 (1-2) (2011), 193-195.

[8] A. Csazar, $gamma$-connected sets, Acta Math. Hungar. 101 (2003), 273-279.

[9] A. Csazar, Normal generalized topologies, Acta Math. Hungar. 115 (4) (2007), 309-313.

[10] A. Csazar, $delta$-and $theta$-modifications of generalized topologies, Acta Math. Hungar. 120 (2008), 275-279.

[11] F. Hausdor, Gestufte Raume. Fundamenta mathematicae, 25 (1935), 486-502.

[12] J. L. Kelley, General Topology. D. Van Nostrand company, New York 1955.

[13] W. K. Min, Generalized continuous functions defined by generalized open sets on generalized topological spaces, Acta Math. Hungar., 128 (2009), doi: 10.1007/s10474-009-9037-6.

[14] D. Jayanthi, Contra Continuity on generalized topological spaces, Acta Math. Hungar., 137 (4) (2012), 263-
271.