Tightness-type properties of the space of permutation degree
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 $X^{n}$.
engleski
2022
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Creative Commons CC BY 4.0 - Creative Commons Autorstvo 4.0 International License.
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Keywords: functor of permutation degree, tightness, set tightness, T-tightness, functional tightness, minitightness