69 citations · 133 across the 20 of their papers we have counts for
23 papers
Pro-groups and generalizations of a theorem of Bing
Alex Clark, Steven Hurder, Olga Lukina
A matchbox manifold is a generalized lamination, which is a continuum whose path components define the leaves of a foliation of the space. A matchbox manifold is M-like if it has t…
Manifold--like matchbox manifolds
Alex Clark, Steven Hurder, Olga Lukina
A matchbox manifold is a generalized lamination, and is a continuum whose arc-components define the leaves of a foliation of the space. The main result of this paper implies that a…
A compact minimal space such that its square is not minimal
J. P. Boronski, Alex Clark, P. Oprocha
The following well known open problem is answered in the negative: Given two compact spaces and that admit minimal homeomorphisms, must the Cartesian product ad…
New exotic minimal sets from pseudo-suspensions of Cantor systems
J. P. Boroński, Alex Clark, P. Oprocha
We develop a technique, pseudo-suspension, that applies to invariant sets of homeomorphisms of a class of annulus homeomorphisms we describe, Handel-Anosov-Katok (HAK) homeomorphis…
The homology core and invariant measures
Alex Clark, John Hunton
Here we shall consider the topology and dynamics associated to a wide class of matchbox manifolds, including a large selection of tiling spaces and all minimal matchbox manifolds o…
Small cocycles, fine torus fibrations, and a subshift with neither
Alex Clark, Lorenzo Sadun
Following an earlier similar conjecture of Kellendonk and Putnam, Giordano, Putnam and Skau conjectured that all minimal, free actions on Cantor sets admit "small c…