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Simplicial subdivision
of infinite-dimensional compact cubes
Thomas E. Armstrong |
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Vol. 81 (1979), No. 1, 1–16
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Abstract |
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Finite dimensional polyhedra may be characterized as those finite dimensional convex sets S admitting a finite a simplicial subdivision with vertex set equal to the extreme point set of S. Alfsen has shown the existence of α-polytope which doesn’t admit even an infinite simplicial subdivision of this type. It is shown here that any infinite dimensional compact cube does admit subdivisions of this type. |
Mathematical Subject Classification 2000
Primary: 46A99
Secondary: 57N20
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Milestones
Received: 15 September 1977
Published: 1 March 1979
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Authors |
| Thomas E. Armstrong | |
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