移位的自同态和自同构的单侧分解度和单侧分解方向的极限
The degrees of onesided resolvingness and the limits of onesided resolving directions for endomorphisms and automorphisms of the shift
摘要：
我们引入了标题中关于子移位的自同态的概念，并利用它们刻画了广义上的各种“分解子移位的自同态”，包括单侧自同态和弱自同态。解决传递的拓扑马尔可夫位移的自同态和解决拓扑马尔可夫位移的自同构进行了特别详细的处理。此外，我们理解了子移位的自同态的“可扩张性”（广义上包括单侧可扩张性）的单侧分解方向的极限是什么，并且我们理解了零维紧致度量空间上的子移位的自同态和自同构以及Z^d-作用的“可分解性”和“可扩张性”之间的关系。
英文摘要：
We introduce the notions in the title for endomorphisms of subshifts, and using them we characterize various classes of "resolving endomorphisms of subshifts" in the broad sense including onesided and weak ones. Resolving endomorphisms of transitive topological Markov shifts and resolving automorphisms of topological Markov shifts are treated particularly in detail. Moreover, we understand what the limits of onesided resolving directions are for "expansiveness" (in the broad sense including onesided ones) of endomorphisms of subshifts, and we understand the relation between "resolvingness" and "expansiveness" for endomorphisms and automorphisms of subshifts and for Z^d-actions on zero-dimensional compact metric spaces.
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