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Torsion topological groups with minimal open sets

Published online by Cambridge University Press:  17 April 2009

M.C. Thornton
M.C. Thornton
Affiliation:
University of Nebraska, Lincoln, Nebraska, USA
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Abstract

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Torsion topological groups with the additional property that the intersection of open sets is open are considered and their topological structure is determined:

1) the topology is uniquely determined by a normal subgroup;

2) each group is uniquely an extension of an indiscrete group by a discrete group;

3) the topology may be changed within limits without changing the dual group.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 1 , August 1971 , pp. 55 - 59
Copyright
Copyright © Australian Mathematical Society 1971

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