5 citations · 7 across the 11 of their papers we have counts for
4 papers · 2 filters
On the Modulus of a Union of Nested Annuli
Mark Comerford
We prove a result which gives sufficient conditions for a conformal annulus which is a countable union of nested conformal annuli to have bounded modulus. Our theorem also gives es…
Short Separating Geodesics for Multiply Connected Domains
Mark Comerford
We consider the following questions: given a hyperbolic plane domain and a separation of its complement into two disjoint closed sets each of which contains at least two points, wh…
The Caratheodory Topology for Multiply Connected Domains II
Mark Comerford
We continue our exposition concerning the Caratheodory topology for multiply connected domains by introducing the notion of boundedness for a family of pointed domains of the same…
The Caratheodory Topology for Multiply Connected Domains I
Mark Comerford
We consider the convergence of pointed multiply connected domains in the Caratheodory topology. Behaviour in the limit is largely determined by the properties of the simple closed…