Abstract. In 1968, Borsuk asked the question: Does every finite polyhedron dominate only finitely many different homotopy types? D. Kolodziejczyk in some papers investigated conditions which a polyhedron to be of finite capacity (see [13], [11], [10]). In this paper, we compute the capacity of some special spaces exactly. We show that the capacity of Moore spaces M(A, n) and EilenbergMacLane spaces K(G, n) is exactly the number of direct summands of A ans G respectively, up to isomorphism. From this, we compute the capacity of wedge sum of finitely many spheres of different dimensions. In final, we also show that the number of homotopy idempotents of a CW-complex is not a good upper bound for the capacity of it (see [7]).

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