Monthly Archives: May 2013

Some problems about asymptotic cones


Here are a few problems that I think are nice. Find a finitely presented group with uncountably many non-homeomorphic (or even non -equivalent) asymptotic cones, independent of Continuum Hypothesis. Recall that if we assume that CH is false than any uniform lattice in is an example (see Kramer, Shelah, Tent, Thomas, http://front.math.ucdavis.edu/0306.5420). The maximal number […]