The free topological group on the Sorgenfrey line is not \(\mathbb R\)-factorizable (Q388008)
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scientific article; zbMATH DE number 6239209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The free topological group on the Sorgenfrey line is not \(\mathbb R\)-factorizable |
scientific article; zbMATH DE number 6239209 |
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The free topological group on the Sorgenfrey line is not \(\mathbb R\)-factorizable (English)
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18 December 2013
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The authors prove that the free linear Boolean topological group on the Sorgenfrey line is not \(\mathbb R\)-factorizable. Thus the free, the free Abelian, the free Boolean topological group on the Sorgenfrey line are also not \(\mathbb R\)-factorizable. Thereby, 4 open problems on \(\mathbb R\)-factorizable groups are answered in the negative.
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\(\mathbb R\)-factorizable group
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Sorgenfrey line
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free linear Boolean group
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non-\(\mathbb R\)-factorizable
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