On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds with finitely many singular values (Q2171965)

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On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds with finitely many singular values
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    On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds with finitely many singular values (English)
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    14 September 2022
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    For given graphs, the author constructs certain smooth functions inducing the graphs as the Reeb graphs (Theorem 1.2). Also, good smooth functions on suitable \(3\)-dimensional connected, closed and orientable manifolds are constructed.
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    differential topology
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    generic maps
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    Reeb graph
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    singularities of differentiable maps
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