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http://hdl.handle.net/11375/13772
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DC Field | Value | Language |
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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 |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 2.98 MB | Adobe PDF | View/Open |
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