A topological/geometrical approach to the study of astrophysical maps

Details A topological/geometrical approach to the study of astrophysical maps A topological/geometrical approach to the study of astrophysical maps

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...387..572a&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 387, March 10, 1992, p. 572-590.

Mathematics

Logic

15

Astronomical Maps, Metric Space, Topology, Classifications, Distance, Formalism

Scientific paper

This paper discusses topological and geometrical methods for analyzing astrophysical maps, ranging from emission maps of molecular clouds to surveys of the large-scale structure of the universe. A formalism is constructed which considers the collection of all maps of a given type as a metric space; a set of distance functions (pseudometrics) is then constructed which measure the difference between any two astrophysical maps and thereby topologize the space of maps. These pseudometrics are used to construct a procedure for ordering the space of maps. The results of this work provide a formalism for analyzing and classifying astrophysical maps.

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