Tight embeddings of simply connected \(4\)-manifolds (Q1769046)

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scientific article; zbMATH DE number 2146806
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Tight embeddings of simply connected \(4\)-manifolds
scientific article; zbMATH DE number 2146806

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    Tight embeddings of simply connected \(4\)-manifolds (English)
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    16 March 2005
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    The classification of compact and simply connected PL 4-manifolds states that the homeomorphism classes coincide with the homotopy classes, and that these are classified by the intersection form. The author demonstrates that ``most'' of these classes with an indefinite intersection form can be represented by a tight polyhedral embedding into some Euclidean space.
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    intersection form
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    tight polyhedra
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    polyhedral handles
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    tight surgery
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