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16.42 (2006)

Solved

Is a topological Abelian group $(G, \tau)$ compact if every group topology $\tau' \subseteq \tau$ on $G$ is complete? (The answer is yes if every continuous homomorphic image of $(G, \tau)$ is complete.)

Contributor: E. G. Zelenyuk

Progress

Yes, it is (T. Banakh, Topology Appl., 271 (2020), Article ID 106983, 17 p.).

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