Titus’ homotopies of normal curves
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- by George K. Francis PDF
- Proc. Amer. Math. Soc. 30 (1971), 511-518 Request permission
Abstract:
A regular homotopy of a plane immersion of the circle, each of whose stages is a normal curve with the exception of a finite number of stages of the homotopy presenting a nonnegative convex double point self tangency or a transverse triple point, preserves the number of topologically inequivalent extensions of the immersion to an orientation preserving immersion of the disk. Extensions to properly interior mappings of the disk are similarly investigated.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 511-518
- MSC: Primary 55.70; Secondary 30.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0285009-5
- MathSciNet review: 0285009