On Segre's lemma of tangents
Segre’s lemma of tangents dates back to the 1950’s when he used it in the proof of his “arc is a conic” theorem. Since then it has been used as a tool to prove results about various objects including internal nuclei, Kakeya sets, sets with few odd secants and further results on arcs. Here, we survey...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/121914 |
| Acceso en línea: | https://hdl.handle.net/2117/121914 https://dx.doi.org/10.1016/j.endm.2018.06.003 |
| Access Level: | acceso abierto |
| Palabra clave: | Combinatorial analysis Kakeya sets lemma of tangents sets with no tangents Anàlisi combinatòria Geometria combinatòria Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta |
| Sumario: | Segre’s lemma of tangents dates back to the 1950’s when he used it in the proof of his “arc is a conic” theorem. Since then it has been used as a tool to prove results about various objects including internal nuclei, Kakeya sets, sets with few odd secants and further results on arcs. Here, we survey some of these results and report on how re-formulations of Segre’s lemma of tangents are leading to new results. |
|---|