Open AccessCannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen
Author(s) -
Mahan Mj
Publication year - 2010
Publication title -
séminaire de théorie spectrale et géométrie
Language(s) - English
Resource type - Journals
eISSN - 2118-9242
pISSN - 1624-5458
DOI - 10.5802/tsg.279
Subject(s) - bounded function , torus , geometry , mathematics , kleinian group , limit (mathematics) , surface (topology) , limit set , mathematical analysis
The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map. This is an exposition of a special case of the main result of arXiv:math/0607509.
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