论文标题
$ω$限制的表征是在baire空间的子迁移中
A characterization of $ω$-limit sets in subshifts of Baire space
论文作者
论文摘要
在本文中,我们考虑了$ω$ - 限制套件的结构。我们考虑了有限类型的子缩影和有限类型的subshifts,我们证明了在这种情况下,许多用于$ω$ limit集的经典结构定理失败。然而,我们获得了$ω$ - 限制的特征,以有限类型的子迁移和吸引$ω$ - 限制套件的限制类型的限制套件。
In this paper we consider the structure of $ω$-limit sets in subshifts of Baire space. We consider both subshifts of finite type and subshifts of bounded type and we demonstrate that many classical structure theorems for $ω$-limit sets fail in this context. Nevertheless, we obtain characterizations of $ω$-limit sets in subshift of finite types and of attracting $ω$-limit sets in subshifts of bounded type.