One point compactification for generalized quotient spaces | Zendy

V. Karunakaran | Zendy; C. Ganesan | Zendy

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One point compactification for generalized quotient spaces

Author(s) -

V. Karunakaran,

C. Ganesan

Publication year - 2010

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2010.1725

Subject(s) - mathematics , quotient , compactification (mathematics) , quotient space (topology) , pure mathematics , locally compact space , topological space , discrete mathematics , mathematical analysis

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

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