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Fractional Sylvester–Gallai theorems
We prove fractional analogs of the classical Sylvester–Gallai theorem. Our theorems translate local information about collinear triples in a set of points into global bounds on the dimension of the set. Specifically, we show that if for every points v in a finite set [Image: see text], there are at...
Wedi'i Gadw mewn:
| Prif Awduron: | , , , |
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| Fformat: | Artigo |
| Iaith: | Inglês |
| Cyhoeddwyd: |
National Academy of Sciences
2013
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| Pynciau: | |
| Mynediad Ar-lein: | https://ncbi.nlm.nih.gov/pmc/articles/PMC3845162/ https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1203737109 |
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