The goal of this paper is to establish necessary and sufficient conditions for a subgroup of the full homeomorphism group of a manifold to be the stability group of a point in the underlying space. Such subgroups are useful in identifying the underlying space in terms of its homeomorphism group even in cases in which this space is not necessarily a manifold. Thus, stability groups are useful in classifying various spaces.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc332465 |
| Date | 08 1900 |
| Creators | Wright, William G. (William Glenn) |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | Text |
| Rights | Public, ..., Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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