Point-countability and compactness

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A Note on Point-countability in Linearly Ordered Spaces

In this note linearly ordered topological spaces (abbreviated LOTS) with a point-countable base are examined. It is shown that a LOTS is quasi-developable if and only if it has a <r-point-finite base and a LOTS with a point-countable base is paracompact. An example of a LOTS with a point-countable base that does not have a <r-point-finite base is given. Conditions are given for the metrizabilit...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1976

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1976-0400166-x