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http://hdl.handle.net/11375/11454
Title: | Continuous Lattices and Convexity Theory |
Authors: | Tiller, Albert John |
Advisor: | Banaschewski, Bernhard |
Department: | Mathematics |
Keywords: | Mathematics;Mathematics |
Publication Date: | 1980 |
Abstract: | <p>This thesis deals with continuous lattices and convexity theory in the following original topics. 1) augmented compact spaces. 2) compact star structures. 3) star lattices. 4) convex continuous lattices.</p> <p>These topics produce plentiful situations where continuous lattices arise from studies of various convexity theories. Conversely, it is shown how the lattices recapture the original theory when they are equipped with the appropriate structure.</p> <p>The theory of augmented compact spaces provides a framework for the succeeding developments. It encompasses not only constructions from convexity theory but also topology and topological algebra.</p> <p>The theories are enriched by numerous examples.</p> |
URI: | http://hdl.handle.net/11375/11454 |
Identifier: | opendissertations/642 1957 1094499 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 1.8 MB | Adobe PDF | View/Open |
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