Box product, D-space, Linearly ordered topological space, Metacompact, Semistratifiable
Topology and its Applications
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. © 2001 Elsevier Science B.V. All rights reserved.
Original Publication Date
DOI of published version
Fleissner, William G. and Stanley, Adrienne M., "D-spaces" (2001). Faculty Publications. 3543.