Universal free \(G\)-spaces (Q972524)
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scientific article; zbMATH DE number 5710120
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universal free \(G\)-spaces |
scientific article; zbMATH DE number 5710120 |
Statements
Universal free \(G\)-spaces (English)
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19 May 2010
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For a compact Lie group \(G\) the author shows the existence of a universal \(G\)-space in the class of all paracompact (respectively metrizable, and seperable metrizable) free \(G\)-spaces. The space is the product of Milnor's classifying bundle space for G and a universal space for the respective spaces without action. She also shows that such a universal space cannot be compact for the cyclic group \(G\) of order 2.
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universal free \(G\)-space
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join
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orbit space
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cross-section
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