On countable star-covering properties

Yan-Kui Song

China

Nanjing Normal University

Institute of Mathematics

School of Mathematics and Computer Sciences

Submitted: 2013-11-15

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Accepted: 2013-11-15

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DOI: https://doi.org/10.4995/agt.2007.1890
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Keywords:

Countably compact, Acc, Starcompact, Countably starcompact, Countably acc

Supporting agencies:

NSFC project 10571081 and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No 07KJB110055).

Abstract:

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.
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