An elementary deduction of the topological Radon theorem from Borsuk-Ulam

DOI10.1007/s00454-009-9153-7zbMath1190.54031OpenAlexW2031850561MaRDI QIDQ972596

Craig R. Guilbault

Publication date: 21 May 2010

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-009-9153-7

zbMATH Keywords

Borsuk-Ulam theoremRadon theoremtopological Radon theorem

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Fixed-point and coincidence theorems (topological aspects) (54H25) Classical topics in algebraic topology (55M99)

Related Items (2)

Existence of continuous maps from \(d\)-spheres \((d \geq 1)\) to its various triangulations having the disjoint support property ⋮ Continuous maps with the disjoint support property

Cites Work

• On a common generalization of Borsuk's and Radon's theorem
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
• Unnamed Item

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