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- W4250620106 abstract "A bornology $mathcal{B}$ on a set $X$ is called minmax, if the smallest and largest coarse structures on $X$ compatible with $mathcal{B}$ coincide. We prove that $mathcal{B}$ is minmax, if and only if the family $mathcal B^sharp={pinbeta X:{Xsetminus B:Binmathcal B}subset p}$ consists of ultrafilters which are pairwise non-isomorphic via $mathcal B$-preserving bijections of $X$. In addition, we construct a minmax bornology $mathcal B$ on $omega$ such that the set $mathcal B^sharp$ is infinite. We deduce this result from the existence of a closed infinite subset in $betaomega$ that consists of pairwise non-isomorphic ultrafilters." @default.
- W4250620106 created "2022-05-12" @default.
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- W4250620106 date "2019-12-16" @default.
- W4250620106 modified "2023-09-27" @default.
- W4250620106 title "Minmax bornologies" @default.
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- W4250620106 doi "https://doi.org/10.37069/1810-3200-2019-16-4-3" @default.
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