Countably compact groups having minimal infinite powers

2021/12/15 by Dikranjan, Dikran, Uspenskij, Vladimir · 1 citation
#22B05 #54A35 #54B30 #54D25 #54D30 #54H13 #FOS: Mathematics #General Topology (math.GN) #Group Theory (math.GR) #Logic (math.LO) #Primary 54H11. Secondary 22A05

paper · doi:10.48550/arxiv.2112.08488

Abstract

We answer the question, raised more than thirty years ago, on whether the power (G raised to the power omega) of a countably compact minimal Abelian group G is minimal, by showing that the negative answer is equivalent to the existence of measurable cardinals.

Cited by

• The Structure of Sequentially Complete Locally Minimal Groups

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