Compactifications Determined by a Polyhedral Cone Decomposition of ℝ n
J. C. Taylor
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J. C. Taylor: McGill University, Department of Mathematics and Statistics
A chapter in Harmonic Analysis and Discrete Potential Theory, 1992, pp 1-14 from Springer
Abstract:
Abstract To each polyhedral cone decomposition of ℝ n correspond two compactifications. The first was introduced by Ash et al [1] in the context of toroidal compactifications. The second is related to Karpelevič’s compactification of a symmetric space of noncompact type. For such spaces, the closure of a maximal flat subspace in a Martin compactification coincides with one of the compactifications given by the decomposition into Weyl chambers, the bottom of the positive spectrum corresponding to the first compactification.
Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-2323-3_1
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DOI: 10.1007/978-1-4899-2323-3_1
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