Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web

@article{Weygaert2011AlphaBA,
  title={Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web},
  author={Rien van de Weygaert and Gert Vegter and Herbert Edelsbrunner and Bernard J. T. Jones and Pratyush Pranav and Changbom Park and Wojciech A. Hellwing and Bob Eldering and Nico Kruithof and E. G. P. Bos and Johan Hidding and Job Feldbrugge and Eline ten Have and Matti van Engelen and Manuel Caroli and Monique Teillaud},
  journal={Trans. Computational Science},
  year={2011},
  volume={14},
  pages={60-101}
}
We study the topology of the Megaparsec Cosmic Web in terms of the scale-dependent Betti numbers, which formalize the topological information content of the cosmic mass distribution. While the Betti numbers do not fully quantify topology, they extend the information beyond conventional cosmological studies of topology in terms of genus and Euler characteristic. The richer information content of Betti numbers goes along the availability of fast algorithms to compute them. For continuous density… CONTINUE READING
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