On somewhat near continuity and some applications

• Ameen, Zanyar ^[1]
  1. [1] University of Duhok

     University of Duhok

     Irak

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 8, Nº. 2, 2021 (Ejemplar dedicado a: August - December), págs. 360-369
• Idioma: inglés
• DOI: 10.17268/sel.mat.2021.02.12
• Títulos paralelos:
  • Sobre la continuidad algo cercana y algunas aplicaciones
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Damos más propiedades y aplicaciones a la clase de funciones casi continuas introducidas por Piotrowski. Entre las aplicaciones, mostramos que la propiedad de Baire se conserva bajo imágenes de inyección casi abiertas casi continuas y los espacios de Baire se conservan bajo preimágenes completas de fibra contables casi continuas casi continuas. La última declaración generaliza los resultados dados por Noll y Mirmostafaee y Piotrowski.

  • English

    We give more properties and applications to the class of somewhat nearly continuous functions introduced by Piotrowski. Among the applications, we show that the Baire property is preserved under somewhat nearly continuous quasiopen injection images and Baire spaces are preserved under somewhat nearly continuous quasiopen countable fiber complete preimages. The later statement generalizes the results given by Noll, and Mirmostafaee and Piotrowski.

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