Finitely presented groups with infinitely many non-homeomorphic asymptotic cones

Details Finitely presented groups with infinitely many non-homeomorphic asymptotic cones Finitely presented groups with infinitely many non-homeomorphic asymptotic cones

2011-08-10

arxiv.org/abs/1108.2100v4

Mathematics

Group Theory

Scientific paper

We construct a finitely presented group with infinitely many non-homeomorphic
asymptotic cones. We also show that the existence of cut points in asymptotic
cones of finitely presented groups does, in general, depend on the choice of
scaling constants and ultrafilters.

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