Some cardinal and topological properties of the <i>n</i>-permutation degree of a topological spaces and locally <i>τ</i>-density of hyperspaces

In the paper we investigate some cardinal and topological properties of the n-permutation degree of a topological spaces and locally τ-density of hyperspaces. It is proved that the functors expn and SPn preserves locally τ-density of any infinite T1-spaces.

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