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math.GT2025
Embeddings of trees of hyperbolic metric spaces and Cannon--Thurston maps
Rakesh Halder, Pranab Sardar
Given a tree of hyperbolic metric spaces a la Bestvina--Feighn (\cite{BF}), and a hyperbolic subspace of with an induced tree of hyperbolic spaces structure over…
math.GT2025
Surjectivity of the Cannon--Thurston map in metric (graph) bundles
Rakesh Halder
Metric (graph) bundles generalize the notion of fiber bundles to the context of geometric group theory and were introduced by Mj and Sardar. Suppose is a metric (graph) bundle…
math.GT2025
Landing rays and ray Cannon-Thurston maps
Rakesh Halder, Mahan Mj, Pranab Sardar
In this paper, we describe a procedure to construct pairs of hyperbolic groups with the following properties. 1) Every geodesic ray in converges to a point $ξ_γ\in \p…