7 citations · 14 across the 10 of their papers we have counts for
13 papers
Fundamental Groups of Disjointly Tree-Graded Spaces
Jeremy Brazas, Curtis Kent
Tree-graded spaces are a generalization of -trees and play an important role in describing the large-scale geometry of relatively hyperbolic groups. We consider a subcl…
A Classification of Fractal Squares
Gregory Conner, Curtis Kent, Jun Luo +1
Let be the lambda function of a planar comapctum , as defined in MR4488162. It is known that a planar continuum is locally co…
Inverse limit slender groups
Gregory Conner, Wolfgang Herfort, Curtis Kent +1
Classically, an abelian group is said to be slender if every homomorphism from the countable product to factors through the projection to some finit…
Uncountable groups and the geometry of inverse limits of coverings
Gregory Conner, Wolfgang Herfort, Curtis Kent +1
In this paper we develop a new approach to the study of uncountable fundamental groups by using Hurewicz fibrations with the unique path-lifting property (lifting spaces for short)…
Asymptotic cones and boundaries of CAT(0) groups
Curtis Kent, Russell Ricks
It is well known that the Tits boundary of a proper cocompact CAT(0) space embeds into every asymptotic cone of the space. We explore the relationships between the asymptotic cones…
Homotopy type of planar continua
Curtis Kent
We prove that the homotopy type of a map from a Peano continuum into a planar or one-dimensional space is determined by the induced homomorphism of fundamental groups. This provide…