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arxiv: 1107.2483 · v2 · pith:3TIJC5RGnew · submitted 2011-07-13 · 🧮 math.GT

Completions of fans

classification 🧮 math.GT
keywords rationalrealsemifansimplicialcompletecompletionsconstructivelycontained
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In a finite-dimensional real vector space furnished with a rational structure with respect to a subfield of the field of real numbers, every (simplicial) rational semifan is contained in a complete (simplicial) rational semifan. In this paper this result is proved constructively on use of techniques from polyhedral geometry.

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