Covering Dimension and the Modeling Distribution

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DC Field	Value	Language
dc.contributor.advisor	Lintz, R. G.	en_US
dc.contributor.author	Mogyorosy, Joseph	en_US
dc.date.accessioned	2014-06-18T17:05:12Z	-
dc.date.available	2014-06-18T17:05:12Z	-
dc.date.created	2009-08-21	en_US
dc.date.issued	1975	en_US
dc.identifier.other	opendissertations/860	en_US
dc.identifier.other	1738	en_US
dc.identifier.other	960829	en_US
dc.identifier.uri	http://hdl.handle.net/11375/13772	-
dc.description.abstract	<p>This thesis deals with paracompact spaces with the covering dimension of Lebesgue. A paracompact Hausdorff space with finite covering dimension is characterized by sequences of covers, as an inverse limit of finite dimensional metric spaces, and in terms of a single finite dimensional metric space. In connection with non-deterministic mathematics we introduce the modeling distribution and it is proved (under suitable assumptions) that a modeling distribution preserves paracompactness, complete paracompactness, strong paracompactness, compactness, and final compactness, and lowers covering dimension.</p>	en_US
dc.subject	Mathematics	en_US
dc.subject	Mathematics	en_US
dc.title	Covering Dimension and the Modeling Distribution	en_US
dc.type	thesis	en_US
dc.contributor.department	Mathematics	en_US
dc.description.degree	Doctor of Philosophy (PhD)	en_US
Appears in Collections:	Open Access Dissertations and Theses

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