Manifold-like matchbox manifolds | Zendy

Alex Clark | Zendy; Steven Hurder | Zendy; Olga Lukina | Zendy

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Manifold-like matchbox manifolds

Author(s) -

Alex Clark,

Steven Hurder,

Olga Lukina

Publication year - 2018

Publication title -

proceedings of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.968

H-Index - 84

eISSN - 1088-6826

pISSN - 0002-9939

DOI - 10.1090/proc/14200

Subject(s) - manifold (fluid mechanics) , mathematics , lamination , closed manifold , foliation (geology) , space (punctuation) , stein manifold , pure mathematics , invariant manifold , mathematical analysis , geometry , complex manifold , layer (electronics) , geology , computer science , chemistry , engineering , mechanical engineering , organic chemistry , geochemistry , metamorphic rock , operating system , holomorphic function

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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