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Abstract  

This note is devoted to study the preservation of connectedness under the basic operators in generalized topological spaces. Some characterizations of generalized connectedness are given. As an application, we generalize some results in topological spaces.

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Abstract  

We study the relationship between the product and other basic operations (namely σ, π, α and β) of generalized topologies. Also we discuss the connectedness, generalized connectedness and compactness of products of generalized topologies. It is proved that the connectedness and compactness are preserved under the product of generalized topologies, which shows that the definition of product of generalized topologies is quite reasonable.

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] Shen , R. X. 2009 A note on generalized connectedness Acta Math. Hungar. 122 231 – 235 10.1007/s10474-008-8009-6 .

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generalized connectedness Acta Math. Hungar. 122 231 – 235 10.1007/s10474-008-8009-6 .

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. 3 125 – 130 10.5373/jarpm.479.062610 . [12] Shen , R. X. 2009 A note on generalized connectedness Acta Math. Hungar

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] Shen , R. 2009 A note on generalized connectedness Acta Math. Hungar. 122 231 – 235 10.1007/s10474-008-8009-6 . [11

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