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The genus curve of the Abell clustersWe study the topology of large-scale structure through a genus curve measurement of the recent Abell catalog redshift survey of Postman, Huchra, and 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(sub -0.47 sup +0.43) on scales of 48/h Mpc or to a cold dark matter power spectrum with omega h = 0.36(sub -0.17 sup +0.46).
Document ID
19950035659
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Rhoads, James E. (Princeton University Observatory, Princeton, NJ, United States)
Gott, J. Richard, III (Princeton University Observatory, Princeton, NJ, United States)
Postman, Marc (Space Telescope Science Institute, Baltimore, MD United States)
Date Acquired
August 16, 2013
Publication Date
January 20, 1994
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 421
Issue: 1
ISSN: 0004-637X
Subject Category
ASTROPHYSICS
Funding Number(s)
CONTRACT_GRANT: NAGW-2448
CONTRACT_GRANT: NSF AST-90-20506
Distribution Limits
Public
Copyright
Other