
A matchbox manifold is a generalized lamination, which 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.
solenoid, Continua and generalizations, matchbox manifold, manifold-like continua, 57N25, 37B45, 54F15, FOS: Mathematics, Continua theory in dynamics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Shapes (aspects of topological manifolds)
solenoid, Continua and generalizations, matchbox manifold, manifold-like continua, 57N25, 37B45, 54F15, FOS: Mathematics, Continua theory in dynamics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Shapes (aspects of topological manifolds)
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