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On the collection of topologies, generalised metrics and continuity spaces

Bruno, Jorge
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Identifiers
http://hdl.handle.net/10379/4425
 https://doi.org/10.13025/17822
Publication Date
2013-09-27
Keywords
Topology, Metrics spaces, Metrizability, Set theory, Mathematics
Type
Thesis
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Abstract
This article-based thesis comprises a collection of four papers, each of which constitutes a chapter written in manuscript form. The elemental theme behind the first three chapters is the study of several collections of (topological) structures on an arbitrary set. A more holistic and unifying view of these structures is given in Chapter 4 where a categorical approach is taken and the individuality of fixing a set is abandoned.
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IRC
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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University of Galway Theses (PhD Theses)