Let V (n, k, s) be the set of k-subsets S of [n] such that for all i, j ∈ S, we have |i−j| ≥ s We define almost s-stable Kneser hypergraph KG ( [n] k )∼ s-stab to be the r-uniform hypergraph whose vertex set is V (n, k, s) and whose edges are the r-uples of disjoint elements of V (n, k, s). With the help of a Zp-Tucker lemma, we prove that, for p prime and for any n ≥ kp, the chromatic number o...