Flow-spines and Seifert fibred structure of 3-manifolds (Q1111200)

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scientific article; zbMATH DE number 4076074
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Flow-spines and Seifert fibred structure of 3-manifolds
scientific article; zbMATH DE number 4076074

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    Flow-spines and Seifert fibred structure of 3-manifolds (English)
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    1988
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    The concept of a flow-spine of a closed 3-manifold M was introduced by the author, Tokyo J. Math. 9, No.2, 505-525 (1986). In this paper, we shall give a sufficient condition for M represented by a flow-spine to be Seifert fibred (Theorem 1 in {\S} 2). In {\S} 3 the orbit manifold and exceptional fibres are completely determined by a DS-diagram which is induced by a flow-spine. We give an example in {\S} 4. And in {\S} 5, we study Seifert fibred submanifolds and embedded tori determined by a DS- diagram.
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    Seifert fibre spaces
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    flow-spine of a closed 3-manifold
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    orbit manifold
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    embedded tori
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