Name
Abstract | ||
|---|---|---|
. When C is a ball in and S is the sphere , we say that S
supports a convex body B if S intersects B and either (then S is a far support) or the interior of C is disjoint from B (then S is a near support). The focus here is on common supports for a system of d+1 bodies in such that for each way of selecting a point from each member of , the selected points are affinely independent and hence form the vertex-set of a d-simplex. The main result asserts that if is an arbitrary partition of , then there exists a unique Euclidean sphere that is simultaneously a near support for each member of and a far support for each member of . |
Year | DOI | Venue |
|---|---|---|
1997 | 10.1007/PL00009324 | Discrete & Computational Geometry |
Keywords | Field | DocType |
convex body | Topology,Combinatorics,Disjoint sets,Convex body,SPHERES,Euclidean geometry,Partition (number theory),Mathematics | Journal |
Volume | Issue | ISSN |
18 | 4 | 1432-0444 |
Citations | PageRank | References |
2 | 0.86 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Victor Klee | 1 | 169 | 17.23 |
| T. Lewis | 2 | 2 | 0.86 |
| Balder Von Hohenbalken | 3 | 54 | 52.28 |