Cardinal Generalization of Generalized Topological Spaces

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Debasish Bhattacharya
Lipika Dey


A cardinal generalization of generalized topological spaces called \(\gamma\)-generalized topological spaces are introduced and various topological concepts and properties on this generalized space are defined and studied. Examples of \(\gamma\)-generalized topological spaces which are not generalized topological spaces are cited. Two special sets on \(\gamma\)-generalized topological spaces are defined and their various properties are also investigated. The topological structure formed by these sets is examined.

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Bhattacharya, D., & Dey, L. (2012). Cardinal Generalization of Generalized Topological Spaces. Journal of Advanced Studies in Topology, 4(1), 1:10.
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