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Robert Ghrist, Zoe Cooperband · 2025 · arXiv 2507.01226

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math.AT 1

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2026 1

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CONDITIONAL 1

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The Non-Orientable Topology of Condorcet's Paradox

math.AT · 2026-01-12 · conditional · novelty 6.0

Contradictory preference cycles in Condorcet's paradox are non-orientable surfaces: the Klein bottle (unrealised) or the real projective plane (realised), yielding an orientability reformulation of Arrow's theorem.

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  • The Non-Orientable Topology of Condorcet's Paradox math.AT · 2026-01-12 · conditional · none · ref 34

    Contradictory preference cycles in Condorcet's paradox are non-orientable surfaces: the Klein bottle (unrealised) or the real projective plane (realised), yielding an orientability reformulation of Arrow's theorem.