6 citations · 6 across the 3 of their papers we have counts for
4 papers
Approximation of Metric Spaces by Reeb Graphs: Cycle Rank of a Reeb Graph, the Co-rank of the Fundamental Group, and Large Components of Level Sets on Riemannian Manifolds
Irina Gelbukh
For a connected locally path-connected topological space and a continuous function on it such that its Reeb graph is a finite topological graph, we show that the cycl…
Isotropy index for the connected sum and the direct product of manifolds
Irina Gelbukh
A subspace or subgroup is isotropic under a bilinear map if the restriction of the map on it is trivial. We study maximal isotropic subspaces or subgroups under skew-symmetric maps…
The co-rank of the fundamental group: the direct product, the first Betti number, and the topology of foliations
Irina Gelbukh
We study , the co-rank of the fundamental group of a smooth closed connected manifold . We calculate this value for the direct product of manifolds. We characterize the…
Co-rank and Betti number of a group
Irina Gelbukh
We study the maximal ranks of a free and a free abelian quotients of a finitely generated group, called co-rank (inner rank, cut number) and the Betti number, respectively. We show…