🍩 Database of Original & Non-Theoretical Uses of Topology

1. The Topology of the Cosmic Web in Terms of Persistent Betti Numbers (2017)

   Pratyush Pranav, Herbert Edelsbrunner, Rien van de Weygaert, Gert Vegter, Michael Kerber, Bernard J. T. Jones, Mathijs Wintraecken

   Abstract

   Abstract. We introduce a multiscale topological description of the Megaparsec web-like cosmic matter distribution. Betti numbers and topological persistence of

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   • Astrophysics
   • Cosmology
   • Large-scale structure of universe
   • Cosmic Web
   • Networks
   • Persistent Betti numbers
   • Persistent homology
   • Statistics