Minimal annulus of a convex body (Q1105197)
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scientific article; zbMATH DE number 4058315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal annulus of a convex body |
scientific article; zbMATH DE number 4058315 |
Statements
Minimal annulus of a convex body (English)
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1989
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The author proves that most convex bodies in the plane have precisely 2 points of the boundary on each of the two circumferences which bound their minimal annulus. ``Most'' means that the convex bodies not enjoying the previous property form a meager set in the space of all convex bodies of the plane endowed with the Hausdorff metric.
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Baire category
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convex bodies
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minimal annulus
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meager set
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