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arXiv · 2303.12334

Locally finite completions of polyhedral complexes

Desmond Coles·Netanel Friedenberg
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Abstract

We develop a method for subdividing polyhedral complexes in a way that restricts the possible recession cones and allows one to work with a fixed class of polyhedron. We use these results to construct locally finite completions of rational polyhedral complexes whose recession cones lie in a fixed fan, locally finite polytopal completions of polytopal complexes, and locally finite zonotopal completions of zonotopal complexes.

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Desmond Coles, Netanel Friedenberg. 2023-03-22. Locally finite completions of polyhedral complexes. https://arxiv.org/abs/2303.12334

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