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Clear visibility and
unions of two starshaped sets in the plane
Marilyn Breen |
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Vol. 115 (1984), No. 2, 267–275
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Abstract |
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Let S be a compact set in R2. Assume that for every finite set F in bdry S there exist points s and t (depending on F) such that every point of F is clearly visible via S from at least one of s or t. Then S is a union of two starshaped sets. If “clearly visible” is replaced by the weaker term “visible”, then the result fails. |
Mathematical Subject Classification 2000
Primary: 52A30
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Milestones
Received: 14 March 1983
Published: 1 December 1984
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Authors |
| Marilyn Breen | |
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