Commentaries on the paper ``Solenoidal manifolds'' by Dennis Sullivan (Q2879077)
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scientific article; zbMATH DE number 6341196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commentaries on the paper ``Solenoidal manifolds'' by Dennis Sullivan |
scientific article; zbMATH DE number 6341196 |
Statements
8 September 2014
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solenoidal manifold
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complex structures
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Teichmüller space
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Banach manifold
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Commentaries on the paper ``Solenoidal manifolds'' by Dennis Sullivan (English)
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A \(k\)-solenoidal manifold is a metric space locally homeomorphic to the product of an euclidean \(k\)-disc and an infinite perfect and totally disconnected set. This kind of topological spaces appears naturally in different branches of mathematics.NEWLINENEWLINEIn the paper [\textit{D. Sullivan}, J. Singul. 9, 203--205 (2014; Zbl 1323.57018)], the author gives some results about solenoidal surfaces (\(2\)-solenoidal manifolds).NEWLINENEWLINEIn this paper, the author gives some remarks and comments on the paper of D. Sullivan, and proves some results for \(k\)-solenoidal manifolds for \(k=1,2,3\).
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