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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Universidad de La Frontera. Departamento de Matemática y Estadística.
2021
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oai:scielo:S0719-064620210002002872021-08-18Weakly strongly star-Menger spacesKumar,GauravTyagi,Brij K. Stronlgy star-Menger star-Menger almost star-Menger Weakly star-Menger covering topological 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. 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.23 n.2 20212021-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200287en10.4067/S0719-06462021000200287 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Stronlgy star-Menger star-Menger almost star-Menger Weakly star-Menger covering topological spaces |
| spellingShingle |
Stronlgy star-Menger star-Menger almost star-Menger Weakly star-Menger covering topological spaces Kumar,Gaurav Tyagi,Brij K. Weakly strongly star-Menger spaces |
| description |
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. |
| author |
Kumar,Gaurav Tyagi,Brij K. |
| author_facet |
Kumar,Gaurav Tyagi,Brij K. |
| author_sort |
Kumar,Gaurav |
| title |
Weakly strongly star-Menger spaces |
| title_short |
Weakly strongly star-Menger spaces |
| title_full |
Weakly strongly star-Menger spaces |
| title_fullStr |
Weakly strongly star-Menger spaces |
| title_full_unstemmed |
Weakly strongly star-Menger spaces |
| title_sort |
weakly strongly star-menger spaces |
| publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
| publishDate |
2021 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200287 |
| work_keys_str_mv |
AT kumargaurav weaklystronglystarmengerspaces AT tyagibrijk weaklystronglystarmengerspaces |
| _version_ |
1714206811679096832 |