Local topological properties of asymptotic cones of groups
Copyright policy )Local topological properties of asymptotic cones of groups
We define a local analogue to Gromov's loop division property which is use to give a sufficient condition for an asymptotic cone of a complete geodesic metric space to have uncountable fundamental group. As well, this property is used to understand the local topological structure of asymptotic cones of many groups currently in the literature.
- Brigham Young University Idaho United States
- University of Toronto Canada
asymptotic cones, 20F69, loop division property, Group Theory (math.GR), fundamental group, Asymptotic properties of groups, FOS: Mathematics, complete geodesic metric spaces, 20F65, Geometric group theory, Mathematics - Group Theory, local connectedness, fundamental groups
asymptotic cones, 20F69, loop division property, Group Theory (math.GR), fundamental group, Asymptotic properties of groups, FOS: Mathematics, complete geodesic metric spaces, 20F65, Geometric group theory, Mathematics - Group Theory, local connectedness, fundamental groups
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