Nonpreservation of properties of topological groups on taking their square (Q1098131)
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scientific article; zbMATH DE number 4036698
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonpreservation of properties of topological groups on taking their square |
scientific article; zbMATH DE number 4036698 |
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Nonpreservation of properties of topological groups on taking their square (English)
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1987
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With the use of some additional set-theoretic assumptions it is shown that normality, countable compactness, Lindelöfness, tightness, Souslin property and Fréchet-Urysohn property are not preserved taking the square of topological groups. So far there are no analogous ``absolute'' examples of topological groups.
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topological invariants
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final compactness
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forcing
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normality
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countable compactness
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Lindelöfness
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tightness
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Souslin property
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Fréchet- Urysohn property
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