Examples of not continuous actions of a group in a compact space (Q1313484)
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scientific article; zbMATH DE number 492612
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Examples of not continuous actions of a group in a compact space |
scientific article; zbMATH DE number 492612 |
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Examples of not continuous actions of a group in a compact space (English)
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23 June 1994
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The object of this note is to present examples of a topological group \(G\) on a Baire space acting on a compact space in such a way that the action is separately, but not jointly, continuous. Under slightly stronger hypotheses on \(G\) the answer was known to be positive and it was an open question whether \(G\) being a Baire space sufficed. These examples provide a negative solution.
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separate continuity
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topological group
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Baire space
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compact space
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