Weakly strongly star-Menger spaces

• Autores: Gaurav Kumar, B. K. Tyagi
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 23, Nº. 2, 2021, págs. 287-298
• Idioma: inglés
• DOI: 10.4067/S0719-06462021000200287
• Enlaces
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• Resumen
  • español

    RESUMEN Un espacio X se llama débilmente fuertemente estrella-Menger si para cada sucesión (𝒰n: n ∈ ⍵) de cubrimientos abiertos de X, existe una sucesión (Fn: n ∈ ⍵)de subcon- juntos finitos de X tales que ⋃ n∈⍵ St (Fn, 𝒰n)es X. En este artículo, investigamos la relación entre espacios débilmente fuertemente estrella-Menger con otros espacios relacionados. Se muestra que un P-espacio Hausdorff para compacto débilmente estrella Menger es estrella-Menger. También estudiamos las imágenes y preimágenes de espacios débilmente fuertemente estrella-Menger bajo diversos tipos de aplicaciones.

  • English

    ABSTRACT A space X is called weakly strongly star-Menger space if for each sequence (𝒰n: n ∈ ⍵) of open covers of X, there is a sequence (Fn: n ∈ ⍵) of finite subsets of X such that ⋃ n∈⍵ St (Fn, 𝒰n)is X. In this paper, we investigate the relationship of weakly strongly star-Menger spaces with other related spaces. It is shown that a Hausdorff paracompact weakly star Menger P-space is star-Menger. We also study the images and preimages of weakly strongly star-Menger spaces under various type of maps.

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