The genus curve of the Abell clusters

James E. Rhoads, J. Richard Gott, Marc Postman

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


We study the topology of large-scale structure through a genus curve measurement of the recent Abell catalog redshift survey of Postman, Huchra, & Geller (1992). The structure is found to be spongelike near median density and to exhibit isolated superclusters and voids at high and low densities, respectively. The genus curve shows a slight shift toward "meatball" topology, but remains consistent with the hypothesis of Gaussian random phase initial conditions. The amplitude of the genus curve corresponds to a power-law spectrum with index n = 0.21+0.43-0.47 on scales of 48h-1 Mpc or to a cold dark matter power spectrum with Ωh = 0.36+0.46-0.17.

Original languageEnglish (US)
Pages (from-to)1-8
Number of pages8
JournalAstrophysical Journal
Issue number1
StatePublished - Jan 20 1994


  • Cosmology: theory
  • Galaxies: clustering
  • Large-scale structure of universe

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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