论文标题
统一的僵硬的树枝
Uniform, rigid branchwise-real trees
论文作者
论文摘要
分支机构真实的树是部分秩序，是一棵树，其中每个分支均与真实间隔同构。我给出了这种树木的结构，这些树木既刚性（即没有非平凡的秩序 - 肌形态）和均匀（在两种不同的感觉）。具体而言，我表明有一棵刚性的树木真实的树，每个树的每个分支都具有相同的程度，每个分支都在分支和相同的程度，最后一个分支是相同程度的分支，并且没有承认订单的函数在真实方面。树木在阶段迭代种植，关键技术是$（0，\ infty）$的颜色的构造（ZFC），它使用这些着色来确定如何进行构造。
A branchwise-real tree is a partial order which is a tree and in which every branch is isomorphic to a real interval. I give constructions of such trees which are both rigid (i.e. without non-trivial order-automorphisms) and uniform (in two different senses). Specifically, I show that there is a rigid branchwise-real tree in which every branching point has the same degree, one in which every point is branching and of the same degree, and finally one in which every point is branching of the same degree and which admits no order-preserving function into the reals. Trees are grown iteratively in stages, and a key technique is the construction (in ZFC) of a family of colourings of $(0,\infty)$ which is 'sufficiently generic', using these colourings to determine how to proceed with the construction.
