Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10130519 | Topology and its Applications | 2018 | 16 Pages |
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 FÏ-subset of 2X. We study several examples of analytic spaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Javier Camargo, Carlos Uzcátegui,