Geodesic
Piecewise linear approximation of imbeddings of manifolds in codimensions greater than two
Sbornik. Mathematics, Tome 11 (1970) no. 3, pp. 465-466 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that an arbitrary locally flat imbedding of one piecewise linear manifold into another of codimension greater than two can be changed to a piecewise linear imbedding by means of an arbitrarily small isotopy of the ambient manifold. Bibligraphy: 5 titles. 
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A. V. Chernavskii. Piecewise linear approximation of imbeddings of manifolds in codimensions greater than two. Sbornik. Mathematics, Tome 11 (1970) no. 3, pp. 465-466. http://geodesic.mathdoc.fr/item/SM_1970_11_3_a11/

[1] A. V. Chernavskii, “Kusochno lineinaya approksimatsiya vlozhenii kletok i sfer v korazmernostyakh, bolshikh dvukh”, Matem. sb., 80(122) (1969), 339–364

[2] A. V. Chernavskii, “Topologicheskie vlozheniya mnogoobrazii”, DAN SSSR, 187:6 (1969), 1247–1251

[3] R. Miller, Close isotopies on piecewise linear manifolds, Doct. Diss., Univ. Mich., 1968; Diss. Abstr., B29, No 8, 1969, 2986

[4] T. Homma, “A theorem on piecewise linear approximations. II”, Yokohama Math. J., 16:2 (1968), 107–124 | MR | Zbl

[5] T. B. Rushing, “Taming codimension three embeddings”, Bull. Amer. Math. Soc., 75:4 (1969), 815–820 | DOI | MR | Zbl