Topology Analysis of the Sloan Digital Sky Survey: I. Scale and Luminosity Dependences

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Accepted for publication in ApJ, 19 pages, 10 figures, 2 tables and most of the figures are downgraded to fit in the astroph r

Scientific paper

10.1086/452625

We measure the topology of volume-limited galaxy samples selected from a parent sample of 314,050 galaxies in the Sloan Digital Sky Survey(SDSS), which is now complete enough to describe the fully three-dimensional topology and its dependence on galaxy properties. We compare the observed genus statistic G\nu_f) to predictions for a Gaussian random field and to the genus measured for mock surveys constructed from new large-volume simulations of the LambdaCDM cosmology. In this analysis we carefully examine the dependence of the observed genus statistic on the Gaussian smoothing scale R_G from 3.5 to 11 h^-1Mpc and on the luminosity of galaxies over the range -22.50

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