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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Bonnice, W.E., Reay, J.R. Interior points of convex hulls. Israel J. Math. 4, 243–248 (1966). https://doi.org/10.1007/BF02771639
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DOI: https://doi.org/10.1007/BF02771639