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. [3] Császár , Á. 2002 Generalized topology, generalized continuity Acta Math. Hungar. 96 351 – 357 10.1023/A:1019713018007 .

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.1023/A:1006582718102 . [2] Császár , Á. 2002 Generalized topology, generalized continuity Acta Math. Hungar. 96

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.1023/A:1006582718102 . [2] Császár , Á. 2002 Generalized topology, generalized continuity Acta Math. Hungar. 96

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Abstract  

The paper discusses the generalization of a construction described in [6] for the case when the starting point topology is replaced by a generalized topology.

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Abstract  

The definition of the product of topologies is generalized in such a way that topologies are replaced by generalized topologies in the sense of [3].

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References [1] Császár , Á. 2002 Generalized topology, generalized continuity Acta Math. Hungar. 96

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Abstract  

The paper defines, with the help of generalized topologies and generalized neighbourhood systems, two kinds of generalized continuity, by giving in this way a general form to various concepts discussed in the literature. In particular, generalized continuity admits a characterization furnishing a known charcterization of θ-continuous maps.

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Abstract  

We investigate the generalized topology generated by a subbase for a topology, and consider its applications in the theory of rough sets.

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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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.1023/A:1006582718102 . [2] Császár , Á. 2002 Generalized topology, generalized continuity Acta Math. Hungar. 96

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