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Lifting a generic surface in 3-space to an embedded surface in 4-space

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Publication:1578890
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DOI10.1016/S0166-8641(99)00074-7zbMath0973.57009OpenAlexW2017109017MaRDI QIDQ1578890

Shin Satoh

Publication date: 29 November 2001

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00074-7

zbMATH Keywords

double point setknotted surfacesbroken surface diagramBW orientationDP graph


Mathematics Subject Classification ID

Embeddings and immersions in PL-topology (57Q35)


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No surface-knot of genus one has triple point number two, The intersection graph of an orientable generic surface, Crossing distances of surface-knots, Projected and near-projected embeddings, The 2-twist-spun trefoil has the triple point number four, No immersed 2-knot with at most one self-intersection point has triple point number two or three, SURFACE DIAGRAMS WITH AT MOST TWO TRIPLE POINTS, ON TRIPLE POINT NUMBERS OF 5-COLORABLE 2-KNOTS



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