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Topology of large-scale structure. IV - Topology in two dimensions
Melott, Adrian L.; Cohen, Alexander P.; Hamilton, Andrew J. S.; Gott, J. Richard, III; Weinberg, David H.
AA(Kansas, University, Lawrence), AB(Kansas, University, Lawrence), AC(Joint Institute for Laboratory Astrophysics, Boulder, CO), AD(Princeton University Observatory, NJ), AE(Princeton University Observatory, NJ)
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 345, Oct. 15, 1989, p. 618-626. (ApJ Homepage)
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NASA/STI Keywords:
Cosmology, Galactic Clusters, Topology, Universe, Algorithms, Gauss Equation, Power Spectra, Three Dimensional Models, Two Dimensional Models
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In a recent series of papers, an algorithm was developed for quantitatively measuring the topology of the large-scale structure of the universe and this algorithm was applied to numerical models and to three-dimensional observational data sets. In this paper, it is shown that topological information can be derived from a two-dimensional cross section of a density field, and analytic expressions are given for a Gaussian random field. The application of a two-dimensional numerical algorithm for measuring topology to cross sections of three-dimensional models is demonstrated.

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