## Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

#### Abstract

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.

#### First Page

30

#### Last Page

35

#### References

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#### Recommended Citation

Mukhamadiev, Farkhod
(2018)
"Some cardinal and topological properties of the $n$-permutation degree of a topological spaces and locally $\tau$-density of hyperspaces,"
*Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences*: Vol. 1
:
Iss.
1
, Article 11.

Available at:
https://uzjournals.edu.uz/mns_nuu/vol1/iss1/11