Geodesic
Coincidence of local flatness and local simple-connectedness for embeddings of $(n-1)$-dimensional manifolds in $n$-dimensional manifolds when $n>4$
Sbornik. Mathematics, Tome 20 (1973) no. 2, pp. 297-304 Cet article a éte moissonné depuis la source Math-Net.Ru

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The result formulated in the title is proved. Bibliography: 26 titles. 
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A. V. Chernavskii. Coincidence of local flatness and local simple-connectedness for embeddings of $(n-1)$-dimensional manifolds in $n$-dimensional manifolds when $n>4$. Sbornik. Mathematics, Tome 20 (1973) no. 2, pp. 297-304. http://geodesic.mathdoc.fr/item/SM_1973_20_2_a6/

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