The goal of this paper is to characterize, at least partially, upper semi-continuous decompositions of topological spaces and the role that upper semi-continuity plays in preserving certain topological properties under decomposition mappings. Attention is also given to establishing what role upper semi-continuity plays in determining conditions under which decomposition spaces possess certain properties. A number of results for non-upper semi-continuous decompositions are included to help clarify the scope of the part upper semi-continuity plays in determining relationships between topological spaces and their decomposition spaces.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc663520 |
| Date | 12 1900 |
| Creators | Dennis, William Albert |
| Contributors | Mohat, John T., 1924-, Parrish, Herbert C. |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 52 leaves, Text |
| Rights | Public, Dennis, William Albert, Copyright, Copyright is held by the author, unless otherwise noted. All rights |
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