Weakly strongly star-Menger spaces
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. I...
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| Auteurs principaux: | , |
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| Langue: | English |
| Publié: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2021
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| Accès en ligne: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200287 |
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| Résumé: | 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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