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math.DS2013★ 21 cited
Classifying matchbox manifolds
Alex Clark, Steven Hurder, Olga Lukina
Matchbox manifolds are foliated spaces with totally disconnected transversals. Two matchbox manifolds which are homeomorphic have return equivalent dynamics, so that invariants of…
math.DS2013★ 1 cited
Shape of matchbox manifolds
Alex Clark, Steve Hurder, Olga Lukina
In this work, we develop shape expansions of minimal matchbox manifolds without holonomy, in terms of branched manifolds formed from their leaves. Our approach is based on the meth…