| Some new results about linearly Lindelof spaces are given here. It is proved that if X is a space of countable spread and X=Y U Z, where Y and Z are meta-Lindelof spaces, then X is linearly Lindelof. Moreover, we give a positive answer to a problem raised by A.V. Arhangel'skii and R.Z. Buzyakova. |
Keywords
extent; spread; regular cardinality; linearly Lindelof space
Math Review Classification
Primary (MSC 2000): 54A25; 54D20
Last Updated
1 November 2006
Length
9 pages
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