Abstract
We investigate several natural invariants of curves and knots in \({\mathbb{R}^3}\) . These invariants generalize bridge number and width. As with bridge number, there are connections to the total curvature of a curve.
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Acknowledgements
Research of Joel Hass was supported in part by the NSF. Research of J. Hyam Rubinstein was supported in part by the Australian Research Council. Research of Abigail Thompson was supported in part by the NSF.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Hass, J., Hyam Rubinstein, J. & Thompson, A. Knots and k-width. Geom Dedicata 143, 7–18 (2009). https://doi.org/10.1007/s10711-009-9368-z
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DOI: https://doi.org/10.1007/s10711-009-9368-z