A quotient-like construction involving elementary submodels
arXiv:1504.01415
Abstract
This article is an investigation of a method of deriving a topology from a space and an elementary submodel containing it. We first define and give the basic properties of this construction, known as . In the next section, we construct some examples and analyse the topological relationship between and . In the final section, we apply to get novel results about Lindelöf spaces, giving partial answers to a question of F.D. Tall and another question of Tall and M. Scheepers.
10 pages