The Nielsen–Borsuk–Ulam dichotomy conjecture for free involutions on tori
Let Tn{\mathbb{T}}^nTn be the nnn-torus, let f:Tn→Tnf:{\mathbb{T}}^n\to{\mathbb{T}}^nf:Tn→Tn be a map, and let τ\tauτ be a free involution of Tn{\mathbb{T}}^nTn. Nielsen–Borsuk–Ulam dichotomy conj…