论文标题
无关的理论问题
Set-Theoretical Problems in Asymptology
论文作者
论文摘要
在本文中,我们收集了一些在大规模拓扑中出现的开放式理论问题(也称为渐近学)。特别是,我们询问有关$ω$的一些特殊(大型,不可差的,不可分割的)粗糙结构的关键红衣,内容涉及一些特殊的超级滤器($ t $ popoints and Cellular $ t $ t $ t $ - 点)与$ω$相关的$Ω属性,这些属性与某些零件相关的属性,这些属性与某些派系相关,这些属性是薄薄的,以及跨越薄薄的属性。
In this paper we collect some open set-theoretic problems that appear in the large-scale topology (called also Asymptology). In particular we ask problems about critical cardinalities of some special (large, indiscrete, inseparated) coarse structures on $ω$, about the interplay between properties of a coarse space and its Higson corona, about some special ultrafilters ($T$-points and cellular $T$-points) related to finitary coarse structures on $ω$, about partitions of coarse spaces into thin pieces, and also about coarse groups having some extremal properties.