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High dimensional analogue of metric distortion for simplicial complexes

Published 22 Dec 2014 in math.MG and math.CO | (1412.7142v1)

Abstract: 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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