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arxiv: 1704.04402 · v2 · submitted 2017-04-14 · 🧮 math.DS

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Manifold--like matchbox manifolds

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classification 🧮 math.DS
keywords matchboxmanifoldarc-componentscontinuumdefinefoliationgeneralizedhomeomorphic
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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 matchbox manifold which is manifold-like must be homeomorphic to a weak solenoid.

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