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Topologies on the direct sum of topological Abelian groups. (English) Zbl 1029.22002
The authors show that the asterisk topologies on the direct sum of topological Abelian groups used by Kaplan and Banaszczyk in the duality theory are different. However, in the category of locally quasi-convex groups they do not differ, and coincide with the coproduct topology.

##### MSC:
 22A05 Structure of general topological groups 54H11 Topological groups (topological aspects)
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##### References:
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