eng Kočinac, Ljubiša D. R. Sadullaev, Anvar K. Mukhamadiev, Farkhod G. Abstract: In this paper we prove that if the product $X^{n}$ of a space $X$ has some tightness-type properties, then the space of permutation degree ${\sf SP^{n}}X$ also has these properties. It is proved that the set tightness (resp. $T$-tightness) of the space of permutation degree ${\sf SP^{n}}X$ is equal to the set tightness (resp. $T$-tightness) of the product $X^{n}$. Tightness-type properties of the space of permutation degree http://creativecommons.org/licenses/by/4.0/legalcode info:eu-repo/semantics/article 2022 Keywords: functor of permutation degree, tightness, set tightness, T-tightness, functional tightness, minitightness application/pdf 283268 bytes https://phaidrabg.bg.ac.rs/o:29528 doi:10.3390/math10183341 ISSN: 2227-7390 Mathematics MDPI 10(18)