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Proceedings of the American Mathematical Society
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https://dx.doi.org/10.48550/ar...
Article . 2017
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Manifold-like matchbox manifolds

Authors: Clark, AD; Hurder, S; Lukina, O;

Manifold-like matchbox manifolds

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.

Country
United Kingdom
Related Organizations
Keywords

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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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
hybrid