On countable star-covering properties

Yan-Kui Song


We introduce two new notions of topological spaces called a countably starcompact space and a countably absolutely countably compact (= countably acc) space. We clarify the relations between these spaces and other related spaces and investigate topological properties of countably starcompact spaces and countably acc spaces. Some examples showing the limitations of our results are also given.


Countably compact; Acc; Starcompact; Countably starcompact; Countably acc

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Yan-Kui Song
Communications of the Korean Mathematical Society  vol: 27  issue: 1  first page: 201  year: 2012  
doi: 10.4134/CKMS.2012.27.1.201

Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt