Applications of pre-open sets

• Jun, Young Bae ^[1] ; Jeong, Seong Woo ^[1] ; Lee, Hyeon Jeong ^[1] ; Lee, Joon Woo ^[1]
  1. [1] Gyeongsang National University

     Gyeongsang National University

     Corea del Sur

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 9, Nº. 2, 2008, págs. 213-228
• Idioma: inglés
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• Resumen

  • Using the concept of pre-open set, we introduce and study topological properties of pre-limit points, pre-derived sets, preinterior and pre-closure of a set, pre-interior points, pre-border, prefrontier and pre-exterior. The relations between pre-derived set (resp. pre-limit point, pre-interior (point), pre-border, pre-frontier, and preexterior) and α-derived set (resp. α-limit point, α-interior (point), α-border, α-frontier, and α-exterior) are investigated.