10 citations · 44 across the 9 of their papers we have counts for
4 papers · 1 filter
The genus and the Lyusternik-Schnirelmann category of preimages
R. N. Karasev
In this paper some axiomatic generalization (function of open subsets) of the relative Lyusternik-Schnirelmann category is considered, incorporating the sectional category and the…
-index of the grassmanian
R. N. Karasev
We study the real Grassmann manifold (of -subspaces in ), and the action of on it by taking the orthogonal complement. The homological index of…
Regular embeddings of manifolds and topology of configuration spaces
R. N. Karasev
For a topological space we study continuous maps such that images of every pairwise distinct points are affinely (linearly) independent. Such maps ar…
Multiplicity of continuous maps between manifolds
R. N. Karasev
We consider a continuous map between two manifolds and try to estimate its multiplicity from below, i.e. find a -tuple of pairwise distinct points $x_1,..., x_q\in M…