Completions of fans

Mathematics – Geometric Topology

Scientific paper

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to appear in Journal of Geometry

Scientific paper

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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