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The literature contains quite a few theorems on subdividing the volume of a convex body by a system of cones and on the possibility to circumscribe the body about a polytope of one type or another. See R. N. Karasev, “Topological methods in combinatorial geometry,” Russian Math. Surveys, 63, No. 6, 1031–1078 (2008) for a survey of similar results. In the following, we also prove theorems of this kind. As a limit case, we obtain well-known theorems on inscribed polytopes.
Original language | English |
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Pages (from-to) | 512-515 |
Number of pages | 4 |
Journal | Journal of Mathematical Sciences |
Volume | 251 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2020 |
ID: 75575160