Abstract:We answer the question, raised more than thirty years ago by Dikranjan and Shakhmatov [Comp. Rend. Acad. Sci. Bulg., 41 (1990), pp. 13-15] and Dikranjan and Shakhmatov [Trans. Amer. Math. Soc. 335 (1993), pp. 775-790], on whether the power
G
ω
G^\omega
of a countably compact minimal Abelian group
G
G
is minimal, by showing that the negative answer is equivalent to the existence of measurable cardinals. The proof is carried out in the larger class of sequent… Show more
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