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Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/11454
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dc.contributor.advisorBanaschewski, Bernharden_US
dc.contributor.authorTiller, Albert Johnen_US
dc.date.accessioned2014-06-18T16:54:43Z-
dc.date.available2014-06-18T16:54:43Z-
dc.date.created2009-12-18en_US
dc.date.issued1980en_US
dc.identifier.otheropendissertations/642en_US
dc.identifier.other1957en_US
dc.identifier.other1094499en_US
dc.identifier.urihttp://hdl.handle.net/11375/11454-
dc.description.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>en_US
dc.subjectMathematicsen_US
dc.subjectMathematicsen_US
dc.titleContinuous Lattices and Convexity Theoryen_US
dc.typethesisen_US
dc.contributor.departmentMathematicsen_US
dc.description.degreeDoctor of Philosophy (PhD)en_US
Appears in Collections:Open Access Dissertations and Theses

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