Refining connected topological group topologies on Abelian torsion-free groups (Q1380021)
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scientific article; zbMATH DE number 1121657
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Refining connected topological group topologies on Abelian torsion-free groups |
scientific article; zbMATH DE number 1121657 |
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Refining connected topological group topologies on Abelian torsion-free groups (English)
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20 September 1998
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The authors develop a technique for refining certain topological groups. The main result of the paper is: Theorem. Let \(G\) be a connected Abelian torsion-free group with weight less than or equal to \(\aleph_1\) and cellularity less than or equal to \(\aleph_0\). Then \(G\) admits a strictly finer connected topological group topology satisfying the same cardinality restrictions.
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