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A Quick Proof of the Order-Extension Principle
The American Mathematical Monthly ( IF 0.5 ) Pub Date : 2020-10-20 , DOI: 10.1080/00029890.2020.1801081
Michael Mandler 1
Affiliation  

Szpilrajn [2] proved that any partial order can be extended to a linear order. The standard proof (e.g., Fishburn [1]) relies on Zorn’s lemma and can be difficult to grasp. A more straightforward a...

中文翻译:

订单扩展原则的快速证明

Szpilrajn [2] 证明了任何偏序都可以扩展为线性序。标准证明(例如,Fishburn [1])依赖于 Zorn 引理并且可能难以掌握。一个更直接的...
更新日期:2020-10-20
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