Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658002 | Topology and its Applications | 2016 | 7 Pages |
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?”.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Wei-Feng Xuan, Wei-Xue Shi,