Finite graphs have unique symmetric products (Q820098)
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scientific article; zbMATH DE number 5017444
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite graphs have unique symmetric products |
scientific article; zbMATH DE number 5017444 |
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Finite graphs have unique symmetric products (English)
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6 April 2006
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The authors prove here that finite graphs have unique symmetric products, that is if a finite graph and a continuum have homeomorphic symmetric \(n\)-products then they are homeomorphic to each other. Here, the symmetric \(n\)-product denotes the hyperspace of nonempty sets with \(sn\) points.
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continuum
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finite graph
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hyperspace
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symmetric product
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