On regular covers at subsets

• Tuyen, Luong Quoc ^[1] ; Truc, Nguyen Xuan ^[1] ; Tuyen, Ong Van ^[2]
  1. [1] University of Da Nang

     University of Da Nang

     Vietnam

     
  2. [2] Hoa Vang High School
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 27, Nº. 2, 2026
• Idioma: inglés
• DOI: 10.4995/agt.26082
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we introduce and investigate the notions of cs-regular, sn-regular, so-regular, and regular families at arbitrary subsets of topological spaces. We study their relationships with point-2-star, cs-star, sn-star, so-star, and o-star networks, as well as with cs-metrizable spaces and images of metric spaces under k-cs and sequence-covering mappings at such subsets. Moreover, several related concepts are introduced, which enable us to establish new results and to recover, as special cases, some results previously obtained by S. Lin, W.P. Zheng, and Z.Y. Cai (2020).

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