Projective Center Point and Tverberg Theorems
| Autor: | Benjamin Matschke, Roman Karasev |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Mathematics::Combinatorics
Generalization Center (group theory) Computer Science::Computational Geometry Type (model theory) 52A35 52C35 Mathematics::Algebraic Topology Theoretical Computer Science Constraint (information theory) Combinatorics Computational Theory and Mathematics Transversal (combinatorics) FOS: Mathematics Mathematics - Combinatorics Algebraic Topology (math.AT) Mathematics::Metric Geometry Discrete Mathematics and Combinatorics Projective space Point (geometry) Mathematics - Algebraic Topology Combinatorics (math.CO) Geometry and Topology Projective test Mathematics |
| Zdroj: | Discrete & Computational Geometry |
| ISSN: | 1432-0444 0179-5376 |
| DOI: | 10.1007/s00454-014-9602-9 |
| Popis: | We present projective versions of the center point theorem and Tverberg's theorem, interpolating between the original and the so-called "dual" center point and Tverberg theorems. Furthermore we give a common generalization of these and many other known (transversal, constraint, dual, and colorful) Tverberg type results in a single theorem, as well as some essentially new results about partitioning measures in projective space. Comment: 10 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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