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Electronic Notes in Discrete Mathematics
Article . 2018 . Peer-reviewed
License: Elsevier TDM
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On Segre's Lemma of Tangents

Authors: Simeon Ball; Bence Csajbok;

On Segre's Lemma of Tangents

Abstract

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.

Keywords

Combinatorial analysis, QA73 Geometry / geometria, :Matemàtiques i estadística::Matemàtica discreta [Àrees temàtiques de la UPC], Geometria combinatòria, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta, sets with no tangents, Kakeya sets, lemma of tangents, sets with no tangents, QA72 Algebra / algebra, Kakeya sets, lemma of tangents, Anàlisi combinatòria

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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