Necessary Conditions for Geometric Realizability of Simplicial Complexes

Details Necessary Conditions for Geometric Realizability of Simplicial Complexes Necessary Conditions for Geometric Realizability of Simplicial Complexes

2007-05-14

arxiv.org/abs/0705.1912v2

Mathematics

Metric Geometry

19 pages, 2 figures version 2: updated bibliography

Scientific paper

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

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