Construct · 1 fields · 1 citations

Borsuk's conjecture: a standalone construct

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Borsuk'sconjecture1 CONSTRUCTBorsuk's conjectureKAHN · DISCRETE GEOMETRY

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Discrete geometry

the claim that every bounded set in d dimensions splits into d plus one pieces of smaller diameter, disproved in high dimensions.

In discrete geometry, Borsuk's conjecture refers to the claim that every bounded set in d dimensions splits into d plus one pieces of smaller diameter, disproved in high dimensions. This meaning comes from Kahn (1993) in Bulletin of the American Mathematical Society.[1]

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Nearby constructs

bounded and centered sets1 fields · 1 citationsanchor · a standalone construct

References

  1. Kahn, J., & Kalai, G. (1993). A counterexample to Borsuk’s conjecture. Bulletin of the American Mathematical Society, 29(1), 60-62. https://doi.org/10.1090/s0273-0979-1993-00398-7

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