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The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\) - MaRDI portal

The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\) (Q581847)

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scientific article; zbMATH DE number 4129537
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The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\)
scientific article; zbMATH DE number 4129537

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    The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\) (English)
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    1990
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    The author proves a conjecture of Meeks: All triply periodic minimal surfaces in \(R^ 3\) are equivalent under homeomorphisms of \(R^ 3\). The purely topological proofuses the fact that such surfaces cover Heegard splittings of the three-torus.
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    triply periodic minimal surfaces
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    Heegard splittings
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