Topology + Foundations
32nd Summer Conference on Topology and Its Applications
We will explore some of the basic properties of weak domain representable (wdr) spaces, including hereditary properties and properties of products. In particular, we will construct a Baire space that is not wdr, show that products of wdr spaces are wdr, and demonstrate that the factors of a product that is wdr need not themselves be wdr. We will also show that if X is a wdr space and Y ⊆ X such that |Y|=|X| then Y is wdr. We can declare a subset of a wdr space X to be open or to consist of isolated points without losing the property of being wdr.
Copyright © 2017, the Author
Mashburn, Joe, "Properties of Weak Domain Representable Spaces" (2017). Summer Conference on Topology and Its Applications. 33.