Equivariant strong shape (Q886292)
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scientific article; zbMATH DE number 5167600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivariant strong shape |
scientific article; zbMATH DE number 5167600 |
Statements
Equivariant strong shape (English)
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26 June 2007
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Let \(G\) be a compact group. The authors construct the equivariant strong shape category for compact metrizable \(G\)-spaces. They show that if \(f:X\to Y\) is a strong shape equivalence of compact metrizable \(G\)-spaces, then the induced map \(f/G:X/G\to Y/G\) is a strong shape equivalence of the orbit spaces.
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strong shape
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G-ANR
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fibrant space
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