A constructive version of the Sylvester-Gallai theorem

DOI10.1007/s10474-016-0624-zzbMath1399.51008OpenAlexW2401069956WikidataQ56454691 ScholiaQ56454691MaRDI QIDQ1701339

Mark Mandelkern

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0624-z

zbMATH Keywords

constructive mathematicsSylvester-Gallai theorem

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Other constructive mathematics (03F65)

Cites Work

• Techniques of constructive analysis
• A reverse analysis of the Sylvester-Gallai theorem
• Personal reminiscences and remarks on the mathematical work of Tibor Gallai
• Sylvester-Gallai theorem and metric betweenness
• What is constructive mathematics?
• A survey of Sylvester's problem and its generalizations
• Existence Proofs
• Omniscience Principles and Functions of Bounded Variation
• Meaning and Information in Constructive Mathematics
• On the Number of Ordinary Lines Determined by n Points
• Brouwerian Counterexamples
• Constructive Mathematics
• Another Brief Proof of the Sylvester Theorem
• Sylvester's Problem on Collinear Points and a Relative
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