δ-closure, θ-closure and generalized closed sets

• Cao, Jiling ^[1] ; Ganster, Maximilian ^[2] ; Reilly, Ivan L. ^[1] ; Steiner, Markus ^[2]
  1. [1] University of Auckland

     University of Auckland

     Nueva Zelanda

     
  2. [2] Graz University of Technology

     Graz University of Technology

     Graz, Austria

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 6, Nº. 1, 2005, págs. 79-86
• Idioma: inglés
• DOI: 10.4995/agt.2005.1964
• Enlaces
  • Texto completo
• Resumen

  • We study some new classes of generalized closed sets (in the sense of N. Levine) in a topological space via the associated δ-closure and θ-closure. The relationships among these new classes and existing classes of generalized closed sets are investigated. In the last section we provide an extensive and more or less complete survey on separation axioms characterized via singletons.

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