Borsuk–Ulam conjecture for random complexes with free involution
Borsuk–Ulam conjecture. With high probability, for every continuous map f :Z~→R2d+1f\colon\widetilde Z\to\mathbb{R}^{2d+1}f:Z→R2d+1, there exists an x∈∣Z~∣x\in|\widetilde Z|x∈∣Z∣ such that