论文标题
关系的矩形复合物
The Rectangle Complex of a Relation
论文作者
论文摘要
我们构建了一个关系r的矩形复合物，并表明它与R的Dowker复合物相同。这导致了Dowker定理用于拓扑数据分析的功能版本的简短概念证明。
We construct a simplicial complex, the rectangle complex of a relation R, and show that it is homotopy equivalent to the Dowker complex of R. This results in a short and conceptual proof of functorial versions of Dowker's Theorem used in topological data analysis.
