Title of article :
The D-property in unions of scattered spaces
Author/Authors :
Martيnez، نويسنده , , Juan Carlos and Soukup، نويسنده , , Lajos، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2009
Abstract :
We show in a direct way that a space is D if it is a finite union of subparacompact scattered spaces. This result cannot be extended to countable unions, since it is known that there is a regular space which is a countable union of paracompact scattered spaces and which is not D. Nevertheless, we show that every space which is the union of countably many regular Lindelِf C -scattered spaces has the D-property. Also, we prove that a space is D if it is a locally finite union of regular Lindelِf C -scattered spaces.
Keywords :
D-spaces , Covering properties , Topological games , Scattered spaces
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications