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
- General Mathematics
- Applied Mathematics