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

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3 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)…

math.GN2005★ 8 cited

Roberts' type embeddings and conversion of the transversal Tverberg's theorem

Semeon Bogatyi, Vesko Valov

Here are two of our main results: Theorem 1. Let X be a normal space with dim X=n and m\geq n+1. Then the space C*(X,R^m) of all bounded maps from X into R^m equipped with the unif…