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.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:OTU.1807/33347 |
| Date | 21 November 2012 |
| Creators | Burton, Peter |
| Contributors | Tall, Franklin |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | en_ca |
| Detected Language | English |
| Type | Thesis |
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