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Generators for locally compact groups

Published online by Cambridge University Press:  20 January 2009

Joan Cleary  and
Sidney A. Morris
Joan Cleary
Affiliation:
Dublin Institute of Technology, Kevin St., Dublin, 8, Ireland
Sidney A. Morris
Affiliation:
University of Wollongong, Wollongong, N.S.W. 2522, Australia
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Abstract

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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

References

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