路径复形的持久路径同调的稳定性
Stability of persistent path homology of path complexes
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中文总结 AI 辅助
该研究证明了路径复形的持久路径同调的稳定性，进而推导超图、序列超图的对应稳定性，恢复了Chowdhury与Mémoli关于有向图的已知结果。
中文摘要 AI 辅助
我们证明了路径复形的持久路径同调的稳定性，由此推导出超图和序列超图的持久路径同调的稳定性，并恢复了Chowdhury和Mémoli最初得到的有向图的已知稳定性结果。
英文摘要
We show stability of persistent path homology of path complexes. As a consequence, we deduce the stability of persistent path homology of hypergraphs and of sequence hypergraphs, and recover the known stability result for digraphs, originally due to Chowdhury and Mémoli.
