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An algorithm for automatic reducing of the topology of a h-genus three-dimensional polyhedron to the topology of a ball is proposed. The polyhedron is assumed to be represented by a three-dimensional cell complex. A special technique for separation of two-dimensional subcomplexes producing a cutting surfaces is described. This technique is based on aggregation of cells and calculation of Betti groups of the polyhedron.
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Elena Kartasheva (1999) studied this question.
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