Manifold-like matchbox manifolds

Clark, Alex; Hurder, Steven; Lukina, Olga

doi:10.1090/proc/14200

Manifold-like matchbox manifolds
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by Alex Clark, Steven Hurder and Olga Lukina PDF

Proc. Amer. Math. Soc. 147 (2019), 3579-3594 Request permission

Abstract:

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.

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