Sphere orders |
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| Authors: | Brightwell Graham Winkler Peter |
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| Institution: | (1) London School of Economics and Political Science, Houghton St., WC2A 2AE London, United Kingdom;(2) Bellcore, 445 South St., 07960-1910 Morristown, NJ, U.S.A. |
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| Abstract: | Ann-sphere order is a finite partially ordered set representable by containment ofn-spheres in Euclidean (n+1)-space. We present a sequence {P
i
} of ordered sets such that eachP
i
is ann-sphere order only forn i; one consequence is that we are able to determine the dimension of a Euclidean space-time manifold from the finite suborders of its causality order.Research supported by ONR grant N00014 85-K-0769. |
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| Keywords: | 06A10 52A37 |
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