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