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On theorems of Thornton
Published online by Cambridge University Press: 17 April 2009
Abstract
The topology of a topological group in which the intersection of open sets is open is uniquely determined by a normal subgroup, and the group is uniquely an extension of an indiscrete group by a discrete group. This was proved by M.C. Thornton under the additional hypothesis that the group is a torsion group. The proofs here given make the more general facts almost trivial.
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- Copyright © Australian Mathematical Society 1972
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