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Every nD Persistence Module Is the Restriction of an (n+1)D Indecomposable Module

Applied Algebraic Topology Network via YouTube

Overview

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Explore a constructive process for building (n+1)D indecomposable modules from nD persistence modules in this 30-minute conference talk by Mickaël Buchet for the Applied Algebraic Topology Network. Learn about the process of creating an (n+1)D indecomposable module that contains a given nD persistence module as a hyperplane restriction. Discover the implications and consequences of this process in the field of algebraic topology. Gain insights into advanced concepts in persistence modules and their dimensional relationships.

Syllabus

Mickaël Buchet: Every nD persistence module is the restriction of an (n+1)D indecomposable module.

Taught by

Applied Algebraic Topology Network

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