Some cardinal and topological properties of the $n$-permutation degree of a topological spaces and locally $\tau$-density of hyperspaces

Ф. Г. Мухамадиев

Национальный университет Узбекистана им. М. Улугбека, г. Ташкент

Аннотация: 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 $S{{P}^{n}}$ preserves locally $\tau$-density of any infinite ${{T}_{1}}$-spaces.

УДК: 515.12