Ending Laminations and Boundaries for Deformation Spaces of Kleinian Groups

Algebraic limits of Kleinian groups which rearrange the pages of a book

“…It then follows from Corollary 6 of [23] that also lies in the boundary of the component of CC( 1 (M k )) corresponding to (M k ; h ). (One may also use Theorem 2.2 to construct a sequence { n } in the component of CC( 1 (M k )) corresponding to (M k ; h ) which converges to .)…”

Primitive stable representations of free Kleinian groups

“…The "if" part was proved in Ohshika [34]. The "only if" part, which is really relevant to our argument, is also well known.…”

Realising end invariants by limits of minimally parabolic, geometrically finite groups

“…Using Lemma 6.1, we can assume thatˆjP is an embedding into P 0 . Since we also know that Proposition 6.5 is true for the case when every boundary component of @C n P is incompressible by the main theorem of [44], this means that there is a relative compact core . x C 0 ; x P 0 / of .M S / 0 such that x j x † j is a homeomorphism to a component of @ x C 0 n x P 0 facing an end x e j for which x .…”