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Manifold-like matchbox manifolds

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journal contribution
posted on 2019-06-26, 11:24 authored by Alex Clark, Steven Hurder, Olga Lukina
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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Citation

Proceedings of the American Mathematical Society, 2019

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

  • AM (Accepted Manuscript)

Published in

Proceedings of the American Mathematical Society

Publisher

American Mathematical Society

issn

0002-9939

Acceptance date

2018-04-07

Copyright date

2019

Available date

2019-06-26

Publisher version

https://www.ams.org/journals/proc/0000-000-00/S0002-9939-2019-14200-3/

Notes

MSC (2010): Primary 57N25, 37B45; Secondary 54F15

Language

en

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