Abstract
An Archipelago group is the quotient of the topologist’s product \(G = {\circledast_{i \ge 1}}{G_i}\) of a sequence \({({G_i})_{i \ge 1}}\) of groups modulo the normal closure of the subset \({ \cup _{i \ge 1}}{G_i}\) in G. In this note we provide a simple proof of a result from [5], namely that Archipelago groups are locally free.
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Herfort, W., Hojka, W. Archipelago groups are locally free, Corrigendum to: “Cotorsion and wild homology”. Isr. J. Math. 247, 993–998 (2022). https://doi.org/10.1007/s11856-022-2295-5
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DOI: https://doi.org/10.1007/s11856-022-2295-5