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Transactions of the American Mathematical Society

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The folded ribbon theorem. A contribution to the study of immersed circles


Author: George K. Francis
Journal: Trans. Amer. Math. Soc. 141 (1969), 271-303
MSC: Primary 57.20; Secondary 55.00
DOI: https://doi.org/10.1090/S0002-9947-1969-0243542-1
MathSciNet review: 0243542
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References [Enhancements On Off] (What's this?)

  • [1] George K. Francis, The folded ribbon theorem, Dissertation, Univ. of Michigan, 1967. (University Microfilms Abstract 67-15,622, Vol. 28,6, 1967.)
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  • [3] Morris L. Marx and Roger F. Verhey, Polynomial extensions of normal curves, (to appear).
  • [4] John Milnor, Lectures on the h-cobordism theorem, Princeton Univ. Press, Princeton, N. J., 1965. MR 0190942 (32:8352)
  • [5] Valentin Poenaru, On regular homotopy in codimension one, Ann. of Math. 83 (1966), 257-265. MR 0192507 (33:732)
  • [6] Charles J. Titus, A theory of normal curves and some applications, Pacific J. Math. 10 (1960), 1083-1096. MR 0114189 (22:5014)
  • [7] -, Characterizations of the restriction of a holomorphic function to the boundary of a disk, J. Analyse Math. 18 (1967), 351-358. MR 0212197 (35:3072)
  • [8] -, The combinatorial topology of analytic functions on the boundary of a disk, Acta Math. 106 (1961), 45-64. MR 0166375 (29:3652)
  • [9] Roger F. Verhey, Diffeomorphic invariants of immersed circles, (to appear). MR 0286122 (44:3336)
  • [10] Hassler Whitney, On regular closed curves in the plane, Compositio Math. 4 (1937), 276-284. MR 1556973

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DOI: https://doi.org/10.1090/S0002-9947-1969-0243542-1
Article copyright: © Copyright 1969 American Mathematical Society

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