Title of article :
Countable paracompactness versus normality in ω21
Author/Authors :
Kemoto، نويسنده , , Nobuyuki and Smith، نويسنده , , Kerry D. and Szeptycki، نويسنده , , Paul J.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2000
Abstract :
We will see that:
ZFC, for each subspace X⫅ω21, the following are equivalent;
is normal,
is countably paracompact and strongly collectionwise Hausdorff,
is expandable.
der a variety of different set-theoretic assumptions (including V = L and PMEA) all countably paracompact subspaces of ω21 are normal.
l subspaces of ω21 are collectionwise Hausdorff.
Keywords :
Collectionwise Hausdorff , Strongly collectionwise Hausdorff , V = L , Countably paracompact , PMEA , normal
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
