activity
20092024
most citedRough CAT(0) spaces

6 citations · 13 across the 9 of their papers we have counts for

collaborators

9 papers

math.CO2024

Wiring switches to more light bulbs

Stephen M. Buckley, Anthony G. O'Farrell

Given buttons and bulbs so that the th button toggles the th bulb and perhaps some other bulbs, we compute the sharp lower bound on the number of bulbs that can be li…

math.MG2017★ 1 cited

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…

math.MG2012

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…

math.MG2012

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).

math.MG2012★ 1 cited

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…

math.MG2012★ 3 cited

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…