50 citations · 182 across the 49 of their papers we have counts for
4 papers · 2 filters
Embeddings of k-connected n-manifolds into R^{2n-k-1}
A. Skopenkov
We obtain estimations for isotopy classes of embeddings of closed k-connected n-manifolds into R^{2n-k-1} for n>2k+5 and k\ge0. This is done in terms of an exact sequence involving…
A classification of smooth embeddings of 4-manifolds in 7-space, II
Diarmuid Crowley, Arkadiy Skopenkov
Let N be a closed, connected, smooth 4-manifold with H_1(N;Z)=0. Our main result is the following classification of the set E^7(N) of smooth embeddings N->R^7 up to smooth isotopy.…
Algebraic topology from geometric viewpoint
A. Skopenkov
This book is expository and is in Russian. It is shown how in the course of solution of interesting geometric problems (close to applications) naturally appear main notions of alge…
On the Kuratowski graph planarity criterion
A. Skopenkov
This paper is purely expositional. The statement of the Kuratowski graph planarity criterion is simple and well-known. However, its classical proof is not easy. In this paper we pr…