The Topology of the Cosmic Web in Terms of Persistent Betti Numbers

@article{Pranav2017TheTO,
  title={The Topology of the Cosmic Web in Terms of Persistent Betti Numbers},
  author={Pratyush Pranav and Herbert Edelsbrunner and Rien van de Weygaert and Gert Vegter and Michael Kerber and Bernard J. T. Jones and Mathijs Wintraecken},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2017},
  volume={465},
  pages={4281-4310}
}
  • Pratyush Pranav, Herbert Edelsbrunner, +4 authors Mathijs Wintraecken
  • Published 2017
  • Physics, Mathematics
  • Monthly Notices of the Royal Astronomical Society
  • We introduce a multiscale topological description of the Megaparsec web-like cosmic matter distribution. Betti numbers and topological persistence offer a powerful means of describing the rich connectivity structure of the cosmic web and of its multiscale arrangement of matter and galaxies. Emanating from algebraic topology and Morse theory, Betti numbers and persistence diagrams represent an extension and deepening of the cosmologically familiar topological genus measure and the related… CONTINUE READING

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