Math 496 696 Example Persistent

This video shows how to manually compute

This video outlines some of the main ideas of zig-zag

This lecture is the second part in the series on computing

This talk introduces the basic ideas of Morse theory.

This lecture begins a two-part series on

This lecture discusses the interpretation of simplicial homology, digressing briefly into homotopy invariance of simplicial ...

This lecture reviews material taught thus far for the midterm exam. Near the end, a rather complete

This is a lecture from the

This video discusses the construction of simplicial chain maps from simplicial maps. Warning: in the course of the construction, ...

This lecture discusses the concept of reach and learning the homology of manifolds from data.

This lecture introduces several classes of cell complexes, and then delves into the basic idea of

This talk describes an approach to sonar target classification using

This lecture discusses simplicial homotopies and how they induce chain homotopies between chain maps.

This lecture introduces the concept of homology for chain complexes, and how to compute it both manually and using Python's ...

This lecture discusses the

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This lecture defines chain maps -- morphisms in the category of chain complexes -- and proves that they induce linear maps on ...