Countable 1-transitive coloured linear orderings II
Countable 1-transitive coloured linear orderings II
复制标题
可数 1-传递彩色线性排序 II
DOI：
10.4064/fm183-3-1
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发表时间：
2004
影响因子：
0.6
通讯作者：
J. Truss
中科院分区：
文献类型：
--
作者：
G. Campero;J. Truss
本文给出了可数无限色集的可数1-传递有色线性序类的一个结构定理，总结了文献[1]中的工作。在这里，我们给出了有限颜色集的这些顺序的完整分类，其中有א1。对于无限颜色集，细节要复杂得多，但文献[1]中的许多特征也出现在这里，以更明显的形式，主要是使用编码树(现在看来是必要的)，作为描述我们列表中的结构的一种手段，现在有2个א0。
This paper gives a structure theorem for the class of countable 1-transitive coloured linear orderings for a countably infinite colour set, concluding the work begun in [1]. There we gave a complete classification of these orders for finite colour sets, of which there are א1. For infinite colour sets, the details are considerably more complicated, but many features from [1] occur here too, in more marked form, principally the use (now essential it seems) of coding trees, as a means of describing the structures in our list, of which there are now 2א0 .