The goal of this paper is to establish the dependency of the topology of a simple Lie group, specifically any of the special linear groups, on its underlying group structure. The intimate relationship between a Lie group's topology and its algebraic structure dictates some necessary topological properties, such as second countability. However, the extent to which a Lie group's topology is an "algebraic phenomenon" is, to date, still not known.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc278561 |
| Date | 08 1900 |
| Creators | Opalecky, Robert Vincent |
| Contributors | Kallman, Robert R., Jackson, Steve, 1957-, Bator, Elizabeth M. |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iv, 82 leaves, Text |
| Rights | Public, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Opalecky, Robert Vincent |
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