THE SMALL INDEX PROPERTY FOR COUNTABLE 1-TRANSITIVE LINEAR ORDERS
THE SMALL INDEX PROPERTY FOR COUNTABLE 1-TRANSITIVE LINEAR ORDERS
复制标题
可数1-传递线性阶的小指数性质
DOI：
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发表时间：
2005
影响因子：
0.5
通讯作者：
J. Truss
中科院分区：
文献类型：
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作者：
Katie Chicot;J. Truss
证明了可数饱和离散线性序具有小指数性质，但含有同构于${bbbZ}^2$的凸子集的可数1-传递线性序不具有小指数性质。类似的结果在有色情况下也得到了证明。
It is shown that the countable saturated discrete linear ordering has the small index property, but that the countable 1-transitive linear orders which contain a convex subset isomorphic to ${Bbb Z}^2$ do not. Similar results are also proved in the coloured case.