Name
Abstract | ||
|---|---|---|
We extend to topological affine planes the standard theorems of convexity, among them the separation theorem, the anti-exchange theorem, Radon's, Helly's, Caratheodory's, and Kirchberger's theorems, and the Minkowski theorem on extreme points. In a few cases the proofs are obtained by adapting proofs of the original results in the Euclidean plane; in others it is necessary to devise new proofs that are valid in the more general setting considered here. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/s00454-007-1336-5 | Discrete & Computational Geometry |
Keywords | Field | DocType |
Discrete Comput Geom,Euclidean Plane,Separation Theorem,Antipodal Point,Pseudoline Arrangement | Affine transformation,Extreme point,Topology,Minkowski's theorem,Combinatorics,Convexity,Helly's theorem,Mutual fund separation theorem,Mathematical proof,Euclidean geometry,Mathematics | Journal |
Volume | Issue | ISSN |
38 | 2 | 0179-5376 |
Citations | PageRank | References |
4 | 0.45 | 2 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Raghavan Dhandapani | 1 | 32 | 2.01 |
| Jacob E. Goodman | 2 | 277 | 136.42 |
| Andreas Holmsen | 3 | 55 | 7.81 |
| Richard Pollack | 4 | 912 | 203.75 |
| Shakhar Smorodinsky | 5 | 422 | 43.47 |