S. Bogatyi

activity

20022026

most citedRoberts' type embeddings and conversion of the transversal Tverberg's theorem

8 citations · 18 across the 9 of their papers we have counts for

collaborators

Showing 2010Show all

2 papers · 1 filter

math.GN2010

Embeddings of finite-dimensional compacta in Euclidean spaces

S. Bogataya, S. Bogatyi, V. Valov

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

math.GN2010

Special embeddings of finite-dimensional compacta in Euclidean spaces

S. Bogatyi, V. Valov

If $g$ is a map from a space $X$ into $R^{m}$ and $z \neq \in g (X)$ , let $P_{2, 1, m} (g, z)$ be the set of all lines $Π^{1} \subset R^{m}$ containing $z$ such that $|g^{-1}(Π^1)…