On plane arc-smooth structures (Q2705866)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On plane arc-smooth structures |
scientific article |
Statements
19 March 2001
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dendroids
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planar curves
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On plane arc-smooth structures (English)
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The authors continue the study of planar curves, by showing that each planar arc-smooth curve admits an embedding in the plane, such that its arc-smooth structure can be extended to an arc-smooth structure of the whole plane. They use this auxiliary result to show that each planar arc-smooth curve is a retract of the hyperspace of its closed subsets. We should point out that by a result of Fugate, Gordh and Lum all these curves have to be dendroids.
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