Finitely presented groups with infinitely many non-homeomorphic asymptotic cones
classification
🧮 math.GR
math.GT
keywords
asymptoticconesfinitelypresentedgroupsinfinitelymanynon-homeomorphic
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.