Article ID Journal Published Year Pages File Type
10130519 Topology and its Applications 2018 16 Pages PDF
Abstract
We study two form of selective separability, SS and SS+, on countable spaces with an analytic topology. We show several Ramsey type properties which imply SS. For analytic spaces X, SS+ is equivalent to have that the collection of dense sets is a Gδ subset of 2X, and also equivalent to the existence of a weak base which is an Fσ-subset of 2X. We study several examples of analytic spaces.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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