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Homotopy interleaving distance on the filtered spaces

Mon, 09 Jul 2018 13:00 - 14:30

Yagami campus, Keio Univ. room:Building 14, Room 631A

3-14-1 Kouhoku-ku, Hiyoshi, Yokohama 223-8522, JAPAN

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Description

This is an information for AIP math-sci team's seminar on 9th, July
at Yagami Campus of Keio university:

Speaker: Kei Hagihara

Time: 13:00 - 14:30

Place: Building 14, Room 631A

Title: Homotopy interleaving distance on the filtered spaces

Abstract: The speaker will provide an overview of the preprint
"Blumberg - Lesnick: Universality of the homotopy interleaving distance
(arXiv:1705.01690)".
In this paper they attempt to establish homotopy-theoretical foundations of topological data analysis by introducing the notion of "homotopy interleaving distance".
As an application, under this framework they naturally deduce the Rips inequality - one of the fundamental theorems in persistent homology theory.

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