Necessary Conditions for Geometric Realizability of Simplicial Complexes

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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).
19 pages, 2 figures version 2: updated bibliography

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Metric Geometry, Combinatorics, 52B99; 55S35; 57Q35

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http://salesiana.dossiersoluciones.com/handle/123456789/132062

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.1912
 http://arxiv.org/abs/0705.1912

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arXiv