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12.2 (1992)

Solved

Is it true that every non-discrete group topology (in an abelian group) can be strengthened up to a maximal complete group topology?

Contributor: V. I. Arnautov

Progress

No, not always, since under the assumption of the Continuum Hypothesis there exist non-complete maximal topologies (V. I. Arnautov, E. G. Zelenyuk, Ukrain. Math. J., 43, no. 1 (1991), 15–20).

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