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Generators for locally compact groups
Published online by Cambridge University Press: 20 January 2009
Abstract
It is proved that if G is any compact connected Hausdorff group with weight w(G)≦c, ℝ is the topological group of all real numbers and n is a positive integer, then the topological group G × ℝn can be topologically generated by n + 1 elements, and no fewer elements will suffice.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 3 , October 1993 , pp. 463 - 467
- Copyright
- Copyright © Edinburgh Mathematical Society 1993
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