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• W2899197642 abstract "A matchbox manifold is a generalized lamination, which is a continuum whose path components define the leaves of a foliation of the space. A matchbox manifold is M-like if it has the shape of a fixed topological space M. When M is a closed manifold, in a previous work, the authors have shown that if $frak M$ is a matchbox manifold which is M-like, then it is homeomorphic to a weak solenoid. In this work, we associate to a weak solenoid a pro-group, whose pro-isomorphism class is an invariant of the homeomorphism class of $frak M$. We then show that an M-like matchbox manifold is homeomorphic to a weak solenoid whose base manifold has fundamental group which is non co-Hopfian; that is, it admits a non-trivial self-embedding of finite index. We include a collection of examples illustrating this conclusion." @default.
• W2899197642 created "2018-11-09" @default.
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• W2899197642 date "2018-11-01" @default.
• W2899197642 modified "2023-09-27" @default.
• W2899197642 title "Pro-groups and generalizations of a theorem of Bing" @default.
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• W2899197642 hasPublicationYear "2018" @default.
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