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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1970 Volume 82(124), Number 3(7), Pages 499–500 (Mi sm3464)

This article is cited in 5 papers

Piecewise linear approximation of imbeddings of manifolds in codimensions greater than two

A. V. Chernavskii


Abstract: 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.

UDC: 513.836

MSC: 57N37, 57N15, 57N35

Received: 26.12.1969


 English version:
Mathematics of the USSR-Sbornik, 1970, 11:3, 465–466

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