Kočinac, L.D.R.; Mukhamadiev, F.G.; Sadullaev, A.K. Tightness-Type Properties of the Space of Permutation Degree. Mathematics2022, 10, 3341.
Kočinac, L.D.R.; Mukhamadiev, F.G.; Sadullaev, A.K. Tightness-Type Properties of the Space of Permutation Degree. Mathematics 2022, 10, 3341.
Kočinac, L.D.R.; Mukhamadiev, F.G.; Sadullaev, A.K. Tightness-Type Properties of the Space of Permutation Degree. Mathematics2022, 10, 3341.
Kočinac, L.D.R.; Mukhamadiev, F.G.; Sadullaev, A.K. Tightness-Type Properties of the Space of Permutation Degree. Mathematics 2022, 10, 3341.
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
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
