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The Sponge-Like Topology of Large Scale Structure in the Universe

Published online by Cambridge University Press:  19 July 2016

J. Richard Gott III*
Affiliation:
Princeton University Observatory, Princeton, NJ 08544

Abstract

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We describe and apply a quantitative measure of the topology of large scale structure: the genus of density contours in a smoothed density distribution. For random phase (gaussian) density fields, the mean genus per unit volume exhibits a universal dependence on threshold density, with a normalizing factor that can be calculated from the power spectrum. The topology of the observational sample is consistent with the random phase, cold dark matter model.

Type
CHAPTER V: The Theory of Galaxy Formation and Large-Scale Structure
Copyright
Copyright © Reidel 1987 

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