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A Quotient-like Construction involving Elementary Submodels

This article is an investigation of a recently developed 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 Lindelof spaces,
giving partial answers to a question of F.D. Tall and another question of Tall and M. Scheepers.

Identiferoai:union.ndltd.org:TORONTO/oai:tspace.library.utoronto.ca:1807/33347
Date21 November 2012
CreatorsBurton, Peter
ContributorsTall, Franklin
Source SetsUniversity of Toronto
Languageen_ca
Detected LanguageEnglish
TypeThesis

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