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Topology of large-scale structure. IV - Topology in two dimensionsIn 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.
Document ID
19900025072
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Melott, Adrian L.
(Kansas Univ. Lawrence, KS, United States)
Cohen, Alexander P.
(Kansas, University Lawrence, United States)
Hamilton, Andrew J. S.
(Joint Institute for Laboratory Astrophysics Boulder, CO, United States)
Gott, J. Richard, III
(Kansas Univ. Lawrence, KS, United States)
Weinberg, David H.
(Princeton University Observatory, NJ, United States)
Date Acquired
August 14, 2013
Publication Date
October 15, 1989
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 345
ISSN: 0004-637X
Subject Category
Astrophysics
Accession Number
90A12127
Funding Number(s)
CONTRACT_GRANT: NSF AST-87-21484
CONTRACT_GRANT: NAGW-1288
CONTRACT_GRANT: NSF AST-86-58022
CONTRACT_GRANT: NSG-7128
CONTRACT_GRANT: NAGW-765
CONTRACT_GRANT: NAGW-766
CONTRACT_GRANT: NSF AST-86-13897
Distribution Limits
Public
Copyright
Other

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