One point compactification for generalized quotient spaces

V. Karunakaran, C. Ganesan


The concept of Generalized function spaces which were introduced and studied by Zemanian are further generalized as Boehmian spaces or as generalized quotient spaces in the recent literature. Their topological structure, notions of convergence in these space sare also investigated. Some sufficient conditions for the metrizability are also obtained. In this paper we shall assume that a generalized quotient space is non-compact and realize its one point compactification as a quotient space.


Generalized quotient space; Compact; Locally compact and Hausdorff; One point compactification.

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