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A Partial Order on the Regions of $R^n$ Dissected by Hyperplanes
Paul H. Edelman
Transactions of the American Mathematical Society
Vol. 283, No. 2 (Jun., 1984), pp. 617-631
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1999150
Page Count: 15
You can always find the topics here!Topics: Hyperplanes, Partially ordered sets, Combinatorics, H I regions, Atoms, Vertices, Mathematical functions, Maps, Mathematical lattices
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We study a partial order on the regions of $R^n$ dissected by hyperplanes. This includes a computation of the Mobius function and, in some cases, of the homotopy type. Applications are presented to zonotopes, the weak Bruhat order on Weyl groups and acyclic orientations of graphs.
Transactions of the American Mathematical Society © 1984 American Mathematical Society