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math.GR2025
On the connectedness of the boundary of hierarchically hyperbolic spaces
Ravi Tomar
We prove that, under a mild assumption, any metrizable compactification of a one-ended proper geodesic metric space is connected. As a consequence, we deduce that the boundary, int…
math.GR2025
On combination theorems and Bowditch boundaries of relatively hyperbolic TDLC groups
Swarnali Datta, Arunava Mandal, Ravi Tomar
Based on the work of Farb, Bowditch, and Groves-Manning on discrete relatively hyperbolic groups, we introduce an approach to relative hyperbolicity for totally disconnected locall…