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On the compactness of
the hyperspace of faces
H. B. Reiter and N. Stavrakas |
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Vol. 73 (1977), No. 1, 193–196
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Abstract |
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Let X ⊂ Rd, d > 2, be compact and convex. It is shown that the space of proper faces (poonems) of X is compact if and only if the space of k-exposed (extreme) points of X is compact, 0 ≦ k ≦ d − 2. |
Mathematical Subject Classification 2000
Primary: 52A20
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Milestones
Received: 1 March 1976
Revised: 20 April 1977
Published: 1 November 1977
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Authors |
| H. B. Reiter | |
| N. Stavrakas | |
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