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Some Cardinal And Topological Properties Of The $N$-Permutation Degree Of A Topological Spaces And Locally $\Tau$-Density Of Hyperspaces, Farkhod Mukhamadiev

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

In the paper we investigate some cardinal and topological properties of the $n$-permutation degree of a topological spaces and locally $\tau$-density of hyperspaces. It is proved that the functors $\exp_n$ and $SP^n$ preserves locally $\tau$-density of any infinite $T_1$-spaces.