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Topology in the 21st Century
This video was recorded at Matematični kolokviji in javna predavanja DMFA na Fakulteti za Matematiko in Fiziko. In recent years, classical methods of algebraic topology have found increasing use in applications. The key ingredient for these applications is the persistent homology algorithm of Edelsbrunner, Letscher and Zomorodian (2000). I will discuss a few examples, from visual image statistics, sensor networks, and periodic dynamical systems....
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