Some Tightness-Type Properties of the Space of Permutation Degree
Ljubiša D. R. KočinacFaculty of Mathematics, National University of Uzbekistan, 100174 Tashkent, Uzbekistan;F. G. MukhamadievFaculty of Mathematics, National University of Uzbekistan, 100174 Tashkent, Uzbekistan;Anvar K. SadullaevDepartment of Exact sciences, Yeoju Technical Institute in Tashkent, 100121 Tashkent, Uzbekistan;
ABI
Аннотация
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 $X^{n}$.
Перевод пока недоступен