scholarly journals Corrigendum to “Graphs of hyperbolic groups and a limit set intersection theorem”

2021 ◽  
pp. 1
Author(s):  
Pranab Sardar
Keyword(s):  
Hyperbolic Groups ◽  
Intersection Theorem ◽  
Limit Set ◽  
Set Intersection

scholarly journals A Finite Set Intersection Theorem

1981 ◽  
Vol 2 (2) ◽  
pp. 127-129 ◽  
Author(s):  
P. Frankl ◽  
I.G. Rosenberg
Keyword(s):  
Intersection Theorem ◽  
Set Intersection ◽  
Finite Set

A set intersection theorem and applications

1974 ◽  
Vol 7 (1) ◽  
pp. 199-211 ◽  
Author(s):  
John Freidenfelds
Keyword(s):  
Intersection Theorem ◽  
Set Intersection

scholarly journals Rigidity Properties for Hyperbolic Generalizations

2019 ◽  
Vol 63 (1) ◽  
pp. 66-76
Author(s):  
Brendan Burns Healy
Keyword(s):  
Hyperbolic Spaces ◽  
Hyperbolic Groups ◽  
Limit Set ◽  
Relatively Hyperbolic Groups ◽  
Relatively Hyperbolic

AbstractWe make a few observations on the absence of geometric and topological rigidity for acylindrically hyperbolic and relatively hyperbolic groups. In particular, we demonstrate the lack of a well-defined limit set for acylindrical actions on hyperbolic spaces, even under the assumption of universality. We also prove a statement about relatively hyperbolic groups inspired by a remark by Groves, Manning, and Sisto about the quasi-isometry type of combinatorial cusps. Finally, we summarize these results in a table in order to assert a meta-statement about the decay of metric rigidity as the conditions on actions on hyperbolic spaces are loosened.

scholarly journals The limit set for discrete complex hyperbolic groups

2017 ◽  
Vol 66 (3) ◽  
pp. 927-948 ◽  
Author(s):  
Angel Cano ◽  
Bingyuan Liu ◽  
Marlon Michael Lopez
Keyword(s):  
Hyperbolic Groups ◽  
Limit Set ◽  
Discrete Complex
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