Slow ultrafilters and asymptotic cones of proper metric spaces

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.

References in corpus (1)

• Separable and tree-like asymptotic cones of groups

Cited by in corpus (2)

• Separable and tree-like asymptotic cones of groups
• Iterated asymptotic cones