P-persistent homology of finite topological spaces
نویسندگان
چکیده
Let P be a finite partially ordered set, briefly a finite poset. We will show that for any P -persistent object X in the category of finite topological spaces, there is a P− weighted graph, whose clique complex has the same P -persistent homology as X.
منابع مشابه
Persistent Homology of Finite Topological Spaces
We introduce homology and finite topological spaces. From the basis of that introduction, persistent homology is applied to finite spaces. We prove an equivalence between persistent homology and normal homology in the context of finite topological spaces and introduce an extended pseudometric on finite topological spaces, using the results of Minian.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1502.04873 شماره
صفحات -
تاریخ انتشار 2015