Some topological and cardinal properties of the Nτφ-nucleus of a space X

• Mukhamadiev, F. G. ^[1]
  1. [1] National University of Uzbekistan

     National University of Uzbekistan

     Uzbekistán

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 24, Nº. 2, 2023, págs. 423-432
• Idioma: inglés
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• Resumen

  • In this paper, we study the behavior of some topological and cardinal properties of topological spaces under the influence of the Nτφ -kernel of a space X. It has been proved that the Nτφ-kernel of a space X preserves the density and the network π - weight of normal spaces. Besides, shown that the N-compact kernel of a space X preserves the Souslin properties, the weight, the density, and the π -network weight of normal spaces.