  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 $X/M$. In the next section, we
construct some examples and analyse the topological relationship between $X$
and $X/M$. In the final section, we apply $X/M$ to get novel results about
Lindel\"{o}f spaces, giving partial answers to a question of F.D. Tall and
another question of Tall and M. Scheepers.
