Quasi-circles through prescribed points

Research output: Other contribution

1 Citation (Scopus)

Abstract

We show that in an L-annularly linearly connected, N-doubling, complete metric space, any n points lie on a K-quasi-circle, where K depends only on L, N and n. This implies, for example, that if G is a hyperbolic group that does not split over any virtually cyclic subgroup, then any geodesic line in G lies in a quasi-isometrically embedded copy of the hyperbolic plane.
Original languageEnglish
TypearXiv
Media of outputPDF, text
Number of pages16
Publication statusPublished - 26 Oct 2013

Fingerprint

Dive into the research topics of 'Quasi-circles through prescribed points'. Together they form a unique fingerprint.

Cite this