50 citations · 182 across the 49 of their papers we have counts for
4 papers · 2 filters
Codimension two PL embeddings of spheres with nonstandard regular neighborhoods
M. Cencelj, D. Repovš, A. Skopenkov
For a given polyhedron the notation denotes a regular neighborhood of in . We study the following problem: find all pairs such that if is a…
Classification of embeddings below the metastable dimension
A. Skopenkov
We develop a new approach to the classical problem on isotopy classification of embeddings of manifolds into Euclidean spaces. This approach involves studying of a new embedding in…
Embedding and knotting of manifolds in Euclidean spaces
A. Skopenkov
A clear understanding of topology of higher-dimensional objects is important in many branches of both pure and applied mathematics. In this survey we attempt to present some result…
A classification of smooth embeddings of 3-manifolds in 6-space
A. Skopenkov
We work in the smooth category. If there are knotted embeddings S^n\to R^m, which often happens for 2m<3n+4, then no concrete complete description of embeddings of n-manifolds into…