Eversion
المؤلف:
Smale, S.
المصدر:
"A Classification of Immersions of the Two-Sphere." Trans. Amer. Math. Soc. 90
الجزء والصفحة:
...
8-8-2021
1547
Eversion
A curve on the unit sphere 
is an eversion if it has no corners or cusps (but it may be self-intersecting). These properties are guaranteed by requiring that the curve's velocity never vanishes. A mapping 
forms an immersion of the circle into the sphere iff, for all 
,
Smale (1958) showed it is possible to turn a sphere inside out (sphere eversion) using eversion.
The Season 1 episode "Sniper Zero" (2005) of the television crime drama NUMB3RS mentions eversion.
REFERENCES:
Smale, S. "A Classification of Immersions of the Two-Sphere." Trans. Amer. Math. Soc. 90, 281-290, 1958.
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