Cannon–Thurston maps for $${{\,\textrm{CAT}\,}}(0)$$ groups with isolated flats
Cannon–Thurston maps for $${{\,\textrm{CAT}\,}}(0)$$ groups with isolated flats
Abstract Mahan Mitra (Mj) proved Cannon–Thurston maps exist for normal hyperbolic subgroups of a hyperbolic group (Mitra in Topology, 37(3):527–538, 1998). We prove that Cannon–Thurston maps do not exist for infinite normal hyperbolic subgroups of non-hyperbolic $${{\,\textrm{CAT}\,}}(0)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mrow> <mml:mspace /> <mml:mi>CAT</mml:mi> <mml:mspace /> </mml:mrow> <mml:mo>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>)</mml:mo> …