Topology in two dimensions. III - Modelling projected galaxy catalogues

Mathematics – Logic

Scientific paper

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Astronomical Models, Galactic Clusters, Galactic Evolution, Topology, Astronomical Catalogs, Monte Carlo Method, Universe

Scientific paper

The effects of projection upon the usefulness of 2D topological statistics are investigated. The deep Lick galaxy catalog is modeled with a lognormal density field. It is found that, despite 'washing out' effects, the projection of a 3D lognormal field has a topology that looks very similar to that for for a 2D lognormal field. On intermediate scales, these models provide a good fit to the Lick topology as measured by CP91 using the Euler-Poincare characteristic. The usefulness of shallower depth angular galaxy catalogs for topological studies is assessed.

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