One point compactification for generalized quotient spaces

• Karunakaran, V. ^[1] ; Ganesan, C. ^[1]
  1. [1] Madurai Kamaraj University

     Madurai Kamaraj University

     India

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 11, Nº. 1, 2010, págs. 21-27
• Idioma: inglés
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• Resumen

  • 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.