Interior points of convex hulls |
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| Authors: | William E Bonnice John R Reay |
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| Institution: | (1) University of New Hampshire, Durham, New Hampshire;(2) Michigan State University, East Lansing, Michigan;(3) Western Washington State College, USA |
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| Abstract: | If a setX ⊂E
n has non-emptyk-dimensional interior, or if some point isk-dimensional surrounded, then the classic theorem of E. Steinitz may be extended. For example ifX ⊂E
n has int
k
X ≠ 0, (0 ≦k≦n) and ifp ɛ int conX, thenp ɛ int conY for someY ⊂X with cardY≦2n−k+1. |
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