关于链及其拓扑的备忘录
A memo on chains and their topologies
摘要：
我们总结了一些事实链（全序集），从序理论和拓扑的角度来看。我们强调的事实是，许多经典的定理是正确的偏序集下的一些完整性假设仍然是正确的链没有任何种类的完整性。
英文摘要：
We summarize some facts on chains (totally ordered sets), from an order-theoretic and from a topological point of view. We highlight the fact that many classical theorems that are true for partially ordered sets under some completeness assumption remain true for chains without any kind of completeness.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
