Countably compact groups having minimal infinite powers
Logic
2021-12-17 v1 General Topology
Group Theory
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.
Cite
@article{arxiv.2112.08488,
title = {Countably compact groups having minimal infinite powers},
author = {Dikran Dikranjan and Vladimir Uspenskij},
journal= {arXiv preprint arXiv:2112.08488},
year = {2021}
}
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15 pages