43 citations · 163 across the 20 of their papers we have counts for
7 papers · 1 filter
When is the set of embeddings finite up to isotopy?
Mikhail Skopenkov
Given a manifold N and a number m, we study the following question: is the set of isotopy classes of embeddings N->S^m finite? In case when the manifold N is a sphere the answer wa…
On the Pontryagin-Steenrod-Wu theorem
Dušan Repovš, Mikhail Skopenkov, Fulvia Spaggiari
This paper is on homotopy classification of maps of (n+1)-dimensional manifolds into the n-dimensional sphere. For a continuous map f of an (n+1)-manifold into the n-sphere define…
Embedding products of graphs into Euclidean spaces
Mikhail Skopenkov
For any collection of graphs we find the minimal dimension d such that the product of these graphs is embeddable into the d-dimensional Euclidean space. In particular, we prove tha…
On approximability by embeddings of cycles in the plane
Mikhail Skopenkov
We obtain a criterion for approximability by embeddings of piecewise linear maps of a circle to the plane, analogous to the one proved by Minc for maps of a segment to the plane. T…
Homotopy type of the complement of an immersion and classification of embeddings of tori
M. Cencelj, D. Repovš, M. Skopenkov
This paper is devoted to the classification of embeddings of higher dimensional manifolds. We study the case of embeddings , which we call knotted tori. The s…
Classification of framed links in 3-manifolds
M. Cencelj, D. Repovš, M. Skopenkov
We present a short proof of the following Pontryagin theorem, whose original proof was complicated and has never been published in details: {\bf Theorem.} Let be a connected or…