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Introduction to Applied Algebraic Topology: Persistent Homology

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Simplices<br />

<strong>Introduction</strong><br />

<strong>Topology</strong><br />

Applying <strong>Topology</strong><br />

Examples<br />

Simplicial Complex<br />

<strong>Homology</strong><br />

• A simplex is the convex hull of a collection of points in<br />

“general position”<br />

• A 4-simplex is ...<br />

Joshua Roberts <strong>Applied</strong> <strong>Algebraic</strong> <strong>Topology</strong> 9/ 42

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