Title of article :
D-spaces
Author/Authors :
Fleissner، نويسنده , , William G. and Stanley، نويسنده , , Adrienne M.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2001
Abstract :
We use U-sticky sets to show that box products of scattered spaces of height 1 are D-spaces and to simplify the proof of van Douwen and Lutzer that a subspace of a linearly ordered space is a D-space iff no closed subset is stationary. Analogously, we show that a subspace of a product of finitely many ordinals is a D-space iff it is metacompact iff no closed subset is stationary. We examine the proof that metric spaces are D-spaces and obtain a new characterization of semistratifiability.
Keywords :
Linearly ordered topological space , D-space , box product , Metacompact , Semistratifiable
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications