English

Necessary Conditions for Geometric Realizability of Simplicial Complexes

Metric Geometry 2007-06-21 v2 Combinatorics

Abstract

We associate with any simplicial complex \K\K and any integer mm a system of linear equations and inequalities. If \K\K has a simplicial embedding in Rm\R^m then the system has an integer solution. This result extends the work of I. Novik (2000).

Keywords

Cite

@article{arxiv.0705.1912,
  title  = {Necessary Conditions for Geometric Realizability of Simplicial Complexes},
  author = {Dagmar Timmreck},
  journal= {arXiv preprint arXiv:0705.1912},
  year   = {2007}
}

Comments

19 pages, 2 figures version 2: updated bibliography