Isometric imbedding of a complete two-dimensional locally Euclidean manifold in a Euclidean space

In this article we consider the problem of isometric imbedding of a complete two-dimensional locally Euclidean manifold in a Euclidean space. For each of the possible topological types the corresponding minimal dimension of the extending Euclidean space is indicated. See 3].Translated from Matematicheskie Zametki, Vol. 13, No. 3, pp. 427–429, March, 1973.