It has also been known that there exists minimal transformation groups which are not coalescent [1]. In fact, we have the examples of nonisomorphic minimal sets having homomorphisms from each onto the other. The details of these examples will appear elsewhere. The proof we give here depends heavily on H. Furstenberg's structure theorem of distal flow [3]. We shall follow the definitions and notations in [3] strictly and shall not repeat them here. However, we shall make the following remark. REMARK. It was proved in [3, pp. 481-482] that every coordinate bundle with structure group M is an M-bundle extension over the base space. The converse is not true in general. Witness: Let G= HliGj; G =circle group={z: fz =1}, MCG; M I fIJ Mi, M= {1, -1 } CGi. G has an invariant metric p. G is an M-bundle extension over G/M with respect to the function p. But it is known that (G, G/M, M) is not a coordinate bundle. This answers a question in [3, p. 482]. Now we proceed.