o:29528 Tightness-type properties of the space of permutation degree en 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 $X^{n}$. Keywords: functor of permutation degree, tightness, set tightness, T-tightness, functional tightness, minitightness 1552099 10.3390/math10183341 1552101 2227-7390 2023-05-17T09:21:24.150Z 44 no 46 Ljubiša D. R. Kočinac Državni univerzitet u Novom Pazaru 0000-0002-4870-7908 Anvar K. Sadullaev person 0000-0002-4373-2792 Farkhod G. Mukhamadiev person 0000-0002-1892-4899 application/pdf 283268 https://phaidrabg.bg.ac.rs/o:29528 no yes 16 70 92000001 20A01 Mathematics MDPI 10 18 2022