英国脱欧的拓扑“形状”
The Topological "Shape" of Brexit
摘要：
持久同调是一种计算代数拓扑的方法，可用于研究数据的“形状”。我们说明了两个过滤-权重等级集团过滤和Vietoris-Rips（VR）过滤-这是常用的持久同源性，我们将这些过滤应用于一对数据集，这两个数据集都与2016年欧盟“脱欧”公投在英国。这些例子考虑了一个热门的情况，并提供了有用的说明这些方法的优点和缺点。
英文摘要：
Persistent homology is a method from computational algebraic topology that can be used to study the "shape" of data. We illustrate two filtrations --- the weight rank clique filtration and the Vietoris--Rips (VR) filtration --- that are commonly used in persistent homology, and we apply these filtrations to a pair of data sets that are both related to the 2016 European Union "Brexit" referendum in the United Kingdom. These examples consider a topical situation and give useful illustrations of the strengths and weaknesses of these methods.
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