Homogeneous ANR-spaces and Alexandroff manifolds

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We specify a result of Yokoi yo by proving that if G is an abelian group and X is a homogeneous metric ANR compactum with =n and Hⁿ(X;G)≠ 0, then X is an (n,G)-bubble. This implies that any such space X has the following properties: Hⁿ⁻¹(A;G)≠ 0 for every closed separator A of X, and X is an Alexandroff manifold with respect to the class Dⁿ⁻²G of all spaces of dimension ≤ n-2. We also prove that if X is a homogeneous metric continuum with Hⁿ(X;G)≠ 0, then Hⁿ⁻¹(C;G)≠ 0 for any partition C of X such that ≤ n-1. The last provides a partial answer to a question of Kallipoliti and Papasoglu kp.