A prime curve is determined by its $VF$-matrix
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- by Louis Zulli PDF
- Proc. Amer. Math. Soc. 130 (2002), 2165-2172 Request permission
Abstract:
We show that a prime generic immersion $S^1\to S^2$ is determined up to ambient isotopy by its vertex-face matrix, and give an algorithm for obtaining the curve’s Gauss code directly from that matrix.References
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Additional Information
- Louis Zulli
- Affiliation: Department of Mathematics, Lafayette College, Easton, Pennsylvania 18042
- Email: zullil@lafayette.edu
- Received by editor(s): August 14, 2000
- Received by editor(s) in revised form: February 1, 2001
- Published electronically: December 27, 2001
- Communicated by: Ronald A. Fintushel
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2165-2172
- MSC (2000): Primary 57M15; Secondary 05C50
- DOI: https://doi.org/10.1090/S0002-9939-01-06320-1
- MathSciNet review: 1896054