S. Ura

collaborators

2 papers

math.AT2024

An axiomatic treatment of Persistent Homology

Sergio Tsuyoshi Ura, Marco Contessoto, Alice Kimie Miwa Libardi

We develop an axiomatic framework for persistent homology in any degree. We prove the existence and uniqueness for both a persistent version of the Eilenberg-Steenrod axioms for cl…

math.AT2017

A note on nontrivial intersection for selfmaps of complex Grassmann manifolds

Thais Monis, Northon Penteado, Sergio Ura +1

Let $G (k, n)$ be the complex Grassmann manifold of $k$ -planes in $C^{k + n}$ . In this note, we show that for $1 < k < n$ and for any selfmap $f : G (k, n) \to G (k, n)$ , there exists a $…