Persistent Homology and Injectivity
Osman Berat Okutan (Florida State University)
Abstract: Persistent homology induced by the simplicial Vietoris-Rips filtration is a standard method for capturing topological information from metric spaces. In this talk, I will describe a more geometric filtration, obtained through injective metric spaces, which is equivalent to the Vietoris-Rips filtration up to homotopy. Injective metric spaces are the injective objects in the category of metric spaces. This new filtration allows one to see new connections between the geometry and topology of the underlying space. This is a joint work with Sunhyuk Lim and Facundo Memoli.
algebraic topologycategory theorygroup theoryK-theory and homology
Audience: researchers in the topic
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Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos
Organizer: | Cihan Okay* |
*contact for this listing |