On countable star-covering properties | Zendy

Yan-Kui Song | Zendy

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On countable star-covering properties

Author(s) -

Yan-Kui Song

Publication year - 2007

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2007.1890

Subject(s) - countable set , mathematics , topological space , space (punctuation) , pure mathematics , star (game theory) , cosmic space , discrete mathematics , topology (electrical circuits) , combinatorics , mathematical analysis , computer science , operating system

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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