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http://hdl.handle.net/11375/13772
Title: | Covering Dimension and the Modeling Distribution |
Authors: | Mogyorosy, Joseph |
Advisor: | Lintz, R. G. |
Department: | Mathematics |
Keywords: | Mathematics;Mathematics |
Publication Date: | 1975 |
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> |
URI: | http://hdl.handle.net/11375/13772 |
Identifier: | opendissertations/860 1738 960829 |
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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