Slow ultrafilters and asymptotic cones of proper metric spaces

2010/10/08 by Scheele, Lars
#FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1010.1699

Abstract

In this paper I present an elementary construction to prove that any proper metric space can arise as the asymptotic cone of another proper metric space. Furthermore I answer a question of Drutu and Sapir concerning slow ultrafilters.

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