S. Bogatyi

most citedOn multiplicity of mappings between surfaces

4 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

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.GT2009★ 4 cited

On multiplicity of mappings between surfaces

Semeon Bogatyi, Jan Fricke, Elena Kudryavtseva

Let M and N be two closed (not necessarily orientable) surfaces, and f a continuous map from M to N. By definition, the minimal multiplicity MMR[f] of the map f denotes the minimal…