Geodesic
Uniqueness in Structure Theorems for LCA Groups
Canadian journal of mathematics, Tome 30 (1978) no. 3, pp. 593-599

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The classical Pontrjagin-van Kampen structure theorem states that any locally compact abelian (LCA) group G can be written as the direct product of a vector group Rm (where R denotes the additive group of real numbers with the usual topology, and m is a non-negative integer) and an LCA group H which contains a compact open subgroup. This important theorem, which van Kampen deduced from the work of Pontrjagin, was first stated and proved in [5, p. 461]. 
Armacost, D. L.; Armacost, W. L. Uniqueness in Structure Theorems for LCA Groups. Canadian journal of mathematics, Tome 30 (1978) no. 3, pp. 593-599. doi: 10.4153/CJM-1978-052-x
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