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Sublinearly Morse boundaries from the viewpoint of combinatorics

Sublinearly Morse boundaries from the viewpoint of combinatorics

Abstract We prove that the sublinearly Morse boundary of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>CAT</m:mi> <m:mo>⁢</m:mo> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mn>0</m:mn> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:mrow> </m:math> {\mathrm{CAT}(0)} cubulated groups with factor systems continuously injects in the Gromov boundary of a certain hyperbolic graph Γ. We also show that for all <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> …