A note on boundaries of open polynomial images of \(\mathbb R^2\) (Q1001599)
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scientific article; zbMATH DE number 5509270
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on boundaries of open polynomial images of \(\mathbb R^2\) |
scientific article; zbMATH DE number 5509270 |
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A note on boundaries of open polynomial images of \(\mathbb R^2\) (English)
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19 February 2009
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Summary: We construct a family of polynomial maps \(\mathbb{R}^2\rightarrow\mathbb{R}^2\) such that their images are open semialgebraic sets whose topological exteriors have arbitrarily many connected components, which are parametric semilines.
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polynomial images
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semialgebraic sets
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parametric semilines
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