Mathematica Eterna
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Abstract

On g α r - Connectedness and g α r - Compactness in Topological Spaces

S. Sekar and G. Kumar

In this paper, the authors introduce a new type of connected spaces called generalized α regular-connected spaces (briefly gαr-connected spaces) in topological spaces. The notion of generalized α regularcompact spaces is also introduced (briefly gαr-compact spaces) in topological spaces. Some characterizations and several properties concerning gαr-connected spaces and gαr-compact spaces are obtained.