The minor-homomorphism conjecture for totally symmetric and Mal'cev clones
Let EkE_kEk be a kkk-element set with k≥2k\geq 2k≥2, and let S\mathcal SS be a clone over EkE_kEk. Say that S\mathcal SS satisfies TS(n)\operatorname{TS}(n)TS(n) for every n≥2n\geq 2n≥2 and satisfies…