6 citations · 13 across the 9 of their papers we have counts for
7 papers · 1 filter
Quasihyperbolic geodesics are hyperbolic quasi-geodesics
David A Herron, Stephen M Buckley
This is a tale describing the large scale geometry of Euclidean plane domains with their hyperbolic or quasihyperbolic distances. We prove that in any hyperbolic plane domain, hype…
Distinguishing properties of weak slice conditions II
Stephen M. Buckley, Andre Diatta, Alexander Stanoyevitch
The slice condition and the more general weak slice conditions are geometric conditions on Euclidean space domains which have evolved over the last several years as a tool in vario…
The n-point Condition and Rough CAT(0)
S. M. Buckley, B. Hanson
We show that for n > 4 a length space (X,d) satisfies a rough n-point condition if and only it it is rough CAT(0).
Natural maps between CAT(0) boundaries
Stephen M. Buckley, Kurt Falk
It is shown that certain natural maps between the ideal, Gromov, and end boundaries of a complete CAT(0) space can fail to be either injective or surjective. Additionally the natur…
The Boundary at Infinity of a rough CAT(0) space
Stephen M. Buckley, Kurt Falk
We develop the boundary theory of rough CAT(0) spaces, a class of spaces that contains both Gromov hyperbolic and CAT(0) spaces. The resulting theory generalizes the common feature…
Rough CAT(0) spaces
Stephen M. Buckley, Kurt Falk
We investigate various notions of rough CAT(0). These conditions define classes of spaces that strictly include the union of all Gromov hyperbolic length spaces and all CAT(0) spac…