Metric, stratifiable and uniform spaces of G-permutation degree.

Autor: Beshimov, Ruzinazar B., Georgiou, Dimitrios N., Sereti, Fotini, Zhuraev, Rustam M.
Předmět:
Zdroj: Mathematica Slovaca; Feb2024, Vol. 74 Issue 1, p235-248, 14p
Abstrakt: In this paper, we study the space S P G n X of G-permutation degree. Especially, new properties of this space are investigated. We study its metrazibility, semi-metrazibility, stratifiability, semi-stratifiability and uniformizability. Moreover, we study the uniform space (S P G n X , S P G n Υ) , investigating when this space is totally bounded (ω-bounded). Finally, a study of universal elements in classes of spaces that are presented in this article, and related open questions complete this paper. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index