112 citations · 246 across the 23 of their papers we have counts for
8 papers · 1 filter
On the Browder-Levine-Novikov embedding theorems
M. Cencelj, D. Repovš, A. Skopenkov
In this survey we present applications of the ideas of complement and neighborhood in the theory embeddings of manifolds into Euclidean space (in codimension at least three). We de…
On the Alexandroff-Borsuk problem
Matija Cencelj, Umed H. Karimov, Dušan D. Repovš
We investigate the classical Alexandroff-Borsuk problem in the category of non-triangulable manifolds: Given an -dimensional compact non-triangulable manifold and $\vareps…
Asymptotic dimension of coarse spaces via maps to simplicial complexes
M. Cencelj, J. Dydak, A. Vavpetič
It is well-known that a paracompact space is of covering dimension at most if and only if any map from to a simplicial complex can be pushed into i…
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…
On theorem for manifold pairs with boundaries
M. Cencelj, Yu. V. Muranov, D. Repovš
Surgery obstruction of a normal map to a simple Poincare pair lies in the relative surgery obstruction group . A well known result of Wall, the so cal…