Locally finite completions of polyhedral complexes
Combinatorics
2023-03-23 v1
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.
Keywords
Cite
@article{arxiv.2303.12334,
title = {Locally finite completions of polyhedral complexes},
author = {Desmond Coles and Netanel Friedenberg},
journal= {arXiv preprint arXiv:2303.12334},
year = {2023}
}
Comments
20 pages, 5 figures