Limit set of a Kleinian group (source code)

= Limit set of a Kleinian group
{title2=$\Lambda(\Gamma)=\overline{\Gamma o}\cap S^2_\infty$}

= Kleinian limit set
{c}
{synonym}

For a discrete isometry group of <hyperbolic space>, its limit set is the boundary accumulation set of one interior orbit. All interior base points give the same set: corresponding orbit points stay a fixed hyperbolic distance apart, and bounded-distance sequences approaching the boundary have the same endpoint. This definition does not require finite generation.