Title of article
Productive Lindelِfness and a class of spaces considered by Z. Frolيk
Author/Authors
Burton، نويسنده , , Peter and Tall، نويسنده , , Franklin D.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2012
Pages
6
From page
3097
To page
3102
Abstract
We prove that closed subspaces of countable products of σ-compact spaces are productively Lindelöf if and only if there are no Michael spaces. We also prove that, assuming CH, if X is productively Lindelöf and the union of ℵ 1 compact sets, then X ω is Lindelöf.
Keywords
Productively Lindel?f , ?-compact , Rothberger , Alster , Michael space
Journal title
Topology and its Applications
Serial Year
2012
Journal title
Topology and its Applications
Record number
1583478
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