Slow ultrafilters and asymptotic cones of proper metric spaces

Details Slow ultrafilters and asymptotic cones of proper metric spaces Slow ultrafilters and asymptotic cones of proper metric spaces

2010-10-08

arxiv.org/abs/1010.1699v1

Mathematics

Metric Geometry

Scientific paper

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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