On isotopic and discrete realizations of maps of an $ n$-dimensional sphere in Euclidean space
P. M. Akhmet’ev · Sbornik Mathematics · 1996
In this paper we consider questions of whether a compact space can be embedded in a Euclidean space. The problem of embedding an ' -like' compact space in is solved affirmatively under certain restrictions on the dimension . We clarify the relations between the realization problem and areas of homotopy theory and differential topology.