This article is cited in 2 scientific papers (total in 2 papers)
Approximation of compacta in $E^n$ in codimension greater than two
M. A. Shtan'ko
The following is proved.
Theorem. For a compactum of codimension greater than or equal to three lying in Euclidean space there exists an arbitrarily close approximation by a locally homotopically unknotted (1-ULC) imbedding.
A series of corollaries about approximation of imbeddings of manifolds and polyhedra is derived. A problem about Menger universal compacta is solved. The article contains the complete proof of previously announced results stated in the references.
Bibliography: 17 titles.
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Mathematics of the USSR-Sbornik, 1973, 19:4, 615–626
MSC: 57A15, 57A35
M. A. Shtan'ko, “Approximation of compacta in $E^n$ in codimension greater than two”, Mat. Sb. (N.S.), 90(132):4 (1973), 625–636; Math. USSR-Sb., 19:4 (1973), 615–626
Citation in format AMSBIB
\paper Approximation of compacta in $E^n$ in codimension greater than two
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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This publication is cited in the following articles:
M. A. Shtan'ko, “Approximation of imbeddings of manifolds in codimension one”, Math. USSR-Sb., 23:3 (1974), 456–466
A. V. Chernavskii, “On the work of L. V. Keldysh and her seminar”, Russian Math. Surveys, 60:4 (2005), 589–614
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