- Title
- An open mapping theorem for pro-Lie groups
- Creator
- Hofmann, Karl; Morris, Sidney
- Date
- 2007
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/61763
- Identifier
- vital:412
- Identifier
- ISSN:1446-7887
- Abstract
- A pro-Lie group is a projective limit of finite dimensional Lie groups. It is proved that a surjective continuous group homomorphism between connected pro-Lie groups is open. In fact this remains true for almost connected pro-Lie groups where a topological group is called almost connected if the factor group modulo the identity component is compact. As consequences we get a Closed Graph Theorem and the validity of the Second Isomorphism Theorem for pro-Lie groups in the almost connected context. © 2007 Australian Mathematical Society.; C1
- Publisher
- Australian Mathematical Society
- Relation
- Journal of the Australian Mathematical Society Vol. 83, no. 1 (2007), p. 55-77
- Rights
- Copyright Australian Mathematical Society
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Pro-Lie groups
- Reviewed
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