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Group structure in finite coverings of compact solenoidal groups. (English) Zbl 0968.22002
It is shown that for any \(n\)-fold covering \(p:X\to G\) of a compact solenoidal group \(G\) by a connected topological space \(X\) the space \(X\) admits a compatible topological group structure turning \(p\) into a homomorphism between compact Abelian groups. A topological group \(G\) is solenoidal provided it admits a continuous group homomorphism \(h:\mathbb R\to G\) from the additive group of real numbers whose image \(h(\mathbb R)\) is dense in \(G\).

MSC:
22A05 Structure of general topological groups
57M10 Covering spaces and low-dimensional topology
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