A classification of immersions of the two-sphere

Author:
Stephen Smale

Journal:
Trans. Amer. Math. Soc. **90** (1959), 281-290

MSC:
Primary 55.00

DOI:
https://doi.org/10.1090/S0002-9947-1959-0104227-9

MathSciNet review:
0104227

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References | Similar Articles | Additional Information

**[1]**S. S. Chern and E. Spanier,*A theorem on orientable surfaces in four-dimensional space*, Comment Math. Helv. vol. 25 (1951) pp. 1-5. MR**0044883 (13:492d)****[2]**R. K. Lashof and S. Smale,*On immersions of manifolds*, to appear in Ann. of Math.**[3]**S. Smale,*Regular curves on Riemannian manifolds*, Trans. Amer. Math. Soc. vol. 87 (1958) pp. 492-512. MR**0094807 (20:1319)****[4]**H. Whitney,*On regular closed curves in the plane*, Compositio Math. vol. 4 (1937) pp. 276-284. MR**1556973****[5]**-,*Differentiable manifolds*, Ann. of Math. vol. 37 (1936) pp. 645-680. MR**1503303****[6]**-,*The self-intersections of a smooth*-*manifold in*-*space*, Ann. of Math. vol. 45 (1944) pp. 220-246. MR**0010274 (5:273g)**

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DOI:
https://doi.org/10.1090/S0002-9947-1959-0104227-9

Article copyright:
© Copyright 1959
American Mathematical Society