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math.GT2002
On a universal mapping class group of genus zero
Louis Funar, Christophe Kapoudjian
The aim of this paper is to introduce a group containing the mapping class groups of all genus zero surfaces. Roughly speaking, such a group is intended to be a discrete analogue o…
math.DG2002★ 1 cited
The ends of manifolds with bounded geometry, linear growth and finite filling area
Louis Funar, Renata Grimaldi
We prove that simply connected open Riemannian manifolds of bounded geometry, linear growth and sublinear filling growth (e.g. finite filling area) are simply connected at infinity…
math.GT2002
A refinement of the simple connectivity at infinity of groups
Louis Funar, Daniele Ettore Otera
We give another proof for a result of Brick stating that the simple connectivity at infinity is a geometric property of finitely presented groups. This allows us to define the rate…