On dimension functions and topological Markov chains
On dimension functions and topological Markov chains
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关于维数函数和拓扑马尔可夫链
DOI：
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发表时间：
1980
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通讯作者：
Wolfgang Krieger
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作者：
Wolfgang Krieger
设X是第二可数零维a-紧空间。用~ x表示X的紧开子集构成的布尔环，并考虑X的同胚构成的可数局部有限群N。假设G的每个元素都有一个开的不动点集，并且，目前，还假设ff的每个元素的不动点集都有一个紧补。如果给定X的不交紧开非空子集的有限族A~，ia~，和族g~（-f，ie J），使得g~A~，i ~ J也是不交的，并且使得
Let X be a second countable zero-dimensional a-compact space. Denote by ~ x the Boolean ring of compact open subsets of X and consider a countable locally finite group N of homeomorphisms of X. Assume that every element of G has an open fixed point set, and, for the moment, assume also, that the fixed point set of every element of ff has a compact complement. If we are given a finite family A~, ia~, of disjoint compact open non-empty subsets of X together with a family g~(-f, i e J , such that the g~A~, i ~ J , are also disjoint, and such that