Minimal pseudocompact group topologies on free abelian groups |
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| Authors: | Dikran Dikranjan Anna Giordano Bruno |
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| Affiliation: | a Università di Udine, Dipartimento di Matematica e Informatica, via delle Scienze, 206-33100 Udine, Italy
b Graduate School of Science and Engineering, Division of Mathematics, Physics and Earth Sciences, Ehime University, Matsuyama 790-8577, Japan |
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| Abstract: | A Hausdorff topological group G is minimal if every continuous isomorphism f:G→H between G and a Hausdorff topological group H is open. Significantly strengthening a 1981 result of Stoyanov, we prove the following theorem: For every infinite minimal abelian group G there exists a sequence  of cardinals such that |
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| Keywords: | primary, 22A05 secondary, 03E35, 20K45, 20K99, 22C05, 54A25, 54A35, 54B10, 54D25, 54H11 |
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