Geodesic
Imbedding of locally unknotted one-dimensional manifolds in $E^3$
Sbornik. Mathematics, Tome 10 (1970) no. 2, pp. 267-287 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that each locally unknotted simple arc in three-dimensional euclidean space $E^3$ lies on a disc $D\subset E^3$, whence it follows that there exists a pseudo-isotopy of the space $E^3$ which carries a line segment into the locally unknotted simple arc. Bibliography: 16 titles. 
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     title = {Imbedding of locally unknotted one-dimensional manifolds in~$E^3$},
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Lyudmila Keldysh. Imbedding of locally unknotted one-dimensional manifolds in $E^3$. Sbornik. Mathematics, Tome 10 (1970) no. 2, pp. 267-287. http://geodesic.mathdoc.fr/item/SM_1970_10_2_a7/

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