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arXiv · 1504.01415

A quotient-like construction involving elementary submodels

Peter Burton
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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 $X/M$. 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.

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Peter Burton. 2015-04-06. A quotient-like construction involving elementary submodels. https://arxiv.org/abs/1504.01415

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