On classification of spaces of continuous S <sup>1</sup>-valued functions on polihydrons
In this paper, the spaces of continuous S <sup>1</sup>-valued functions C <sub>p</sub> (X, S <sup>1</sup>) are considered. It is proved that if X is a n-dimensional polihydron and S <sup>1</sup> is a circle which is considered as a topological group, then the topological group C <sub>p</sub> (X,S <sup>1</sup>) is topologically isomorphic to C <sub>p</sub> (Δ <sub>n</sub>, S <sup>1</sup>), where Δ <sub>n</sub>, where Δ <sub>n</sub> is an n-dimensional simplex, n ≥ 1.