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arxiv: 1412.7142 · v1 · pith:SZBSZJQ5new · submitted 2014-12-22 · 🧮 math.MG · math.CO

High dimensional analogue of metric distortion for simplicial complexes

classification 🧮 math.MG math.CO
keywords distortionanaloguecomplexesdimensionalhighmethodmetricpossible
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We suggest a new possible high dimensional analogue to metric distortion. We then show a possible method for providing lower bounds to this distortion and use this method to prove a "Bourgain-type" distortion theorem for Linial-Meshulam random complexes.

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