A fuge on Bernstein sets (Q808475)
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scientific article; zbMATH DE number 4211058
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fuge on Bernstein sets |
scientific article; zbMATH DE number 4211058 |
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A fuge on Bernstein sets (English)
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1991
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A subset B of a Polish space X is called Bernstein set if B and \(X\setminus B\) meet every uncountable closed subset of X. The author proves, for instance, that every uncountable Polish space contains \(2^ c\) Bernstein sets. Results on topological groups and continuous functions are also proved.
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Polish space
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Bernstein set
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topological groups
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continuous functions
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