论文标题
Poincaré二元性（CO）过滤的广义持久图
Poincaré Duality for Generalized Persistence Diagrams of (co)Filtrations
论文作者
论文摘要
我们将以前的持续图二重化工作双重，以使其进行过滤的过滤。当基础空间是一个多种多样时，我们将这种双重性表示为庞加莱二元性，它们的广义持久图之间。最近发现了广义持久图的功能性及其与Rota的Galois Connection定理的连接的重点。
We dualize previous work on generalized persistence diagrams for filtrations to cofiltrations. When the underlying space is a manifold, we express this duality as a Poincaré duality between their generalized persistence diagrams. A heavy emphasis is placed on the recent discovery of functoriality of the generalized persistence diagram and its connection to Rota's Galois Connection Theorem.
