### Abstract

Let/be an immersion of the oriented circle in the oriented sphere. Let the image lie in general position and have tangent winding number t with respect to some point oe in its complement. The extensions of/to an orientation preserving immersion of the disc are classified up to topological equivalence by the (0, i(l — i-))-assemblages induced by a star of rays from oo to the complementary components of the curve. Applications to the classification problem of stable maps between closed surfaces are also discussed.

Original language | English (US) |
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Pages (from-to) | 87-93 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 41 |

Issue number | 1 |

DOIs | |

State | Published - Nov 1973 |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Francis, G. K. (1973). Spherical curves that bound immersed discs.

*Proceedings of the American Mathematical Society*,*41*(1), 87-93. https://doi.org/10.1090/S0002-9939-1973-0321112-0