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In this paper it is investigated whether various shape homology theoriessatisfy the Universal Coefficients Formula (UCF). It is proved thatpro-homology and strong homology satisfy UCF in the class FAB of finitelygenerated abelian groups, while they do not satisfy UCF in the class AB of allabelian groups. Two new shape homology theories (called UCF-balanced) areconstructed. It is proved that balanced pro-homology satisfies UCF in the classAB, while balanced strong homology satisfies UCF only in the class FAB.

On the universal coefficients formula for shape homology