This paper contributes new numerical invariants to the topology of a certain class of polyhedra. These invariants, together with the Betti numbers and coefficients of torsion, characterize the homotopy type of one of these polyhedra. They are also applied to the classification of continuous mappings of an (n+ 2)-dimensional polyhedron into an (n+ 1)-sphere (n> 2).
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Su-Cheng Chang (1950) studied this question.