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Metrizability of subgroups of free topological groups

Published online by Cambridge University Press:  17 April 2009

Sidney A. Morris  and
H.B. Thompson
Sidney A. Morris
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, Vic. 3083Australia.
H.B. Thompson
Affiliation:
Department of Mathematics, University of Queensland, St. Lucia, Qld. 4067, Australia.
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Abstract

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It is shown that any sequential subgroup of a free topological group is either sequential of order ω1 or discrete. Hence any metrizable subgroup of a free topological group is discrete.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 33 , Issue 1 , February 1986 , pp. 103 - 112
Copyright
Copyright © Australian Mathematical Society 1986

References

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