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August 25, 2025Journal of Fixed Point Theory and ApplicationsOpen Access

Colorful Borsuk–Ulam theorems and applications

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Authors

FFFlorian FrickZWZoe Wellner

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Overview

Colorful generalization of the Borsuk–Ulam theorem shows implications for the ham sandwich theorem and KKM results.

Key Points

  • The colorful Borsuk–Ulam theorem strengthens classic intersection results, revealing deeper geometric connections.
  • A specific metric shows improved results for the ham sandwich theorem under an added condition, with applications to measures.
  • Observational analysis reveals colorful generalizations of classic theorems, providing fresh proofs and insights into geometric topology.
  • Current findings suggest a unified approach between Radon-type results and KKM-type covering results in higher symmetry conditions.

Cite This Study

Frick et al. (2025) studied this question.

synapsesocial.com/papers/68af5f13ad7bf08b1eae1f84https://doi.org/10.1007/s11784-025-01234-y
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