Embeddings of finite-dimensional compacta in Euclidean spaces

S. Bogataya, S. Bogatyi, V. Valov

If $g$ is a map from a space $X$ into ${\mathbb{R}}^m$ and $q$ is an integer, let $B_{q,d,m}(g)$ be the set of all lines ${\Pi }^d\subset {\mathbb{R}}^m$ such that $|g^{-1}({\Pi }^d)|\ge q$. Let a…