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SUMMARY:Osman Berat Okutan (Florida State University)
DTSTART:20211025T123000Z
DTEND:20211025T133000Z
DTSTAMP:20260422T135750Z
UID:BilTop/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/28/">
 Persistent Homology and Injectivity</a>\nby Osman Berat Okutan (Florida St
 ate University) as part of Bilkent Topology Seminar\n\nLecture held in SB-
 Z11.\n\nAbstract\nPersistent homology induced by the simplicial Vietoris-R
 ips filtration is a standard method for capturing topological information 
 from metric spaces. In this talk\, I will describe a more geometric filtra
 tion\, obtained through injective metric spaces\, which is equivalent to t
 he Vietoris-Rips filtration up to homotopy. Injective metric spaces are th
 e 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 Memol
 i.\n
LOCATION:https://researchseminars.org/talk/BilTop/28/
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