Article ID Journal Published Year Pages File Type
4658002 Topology and its Applications 2016 7 Pages PDF
Abstract

In this paper, we prove that the cardinality of a star Lindelöf space X   does not exceed cc if X satisfies one of the following conditions: (1) X has a rank 3-diagonal; (2) X is normal and has a rank 2-diagonal; (3) X   is first countable, normal and has a GδGδ-diagonal. Moreover, we also obtain several results concerning the general question “When must a star Lindelöf space be star countable?”.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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