On Gauss-Bonnet curvatures.
On general dissections of a polygon.
On general dissections of a polygon. (Short Communication).
On -G-foliations
On graded bundles and their geometry
On groups generated by two positive multi-twists: Teichmüller curves and Lehmer's number.
On groups with linear sci growth
We prove that the semistability growth of hyperbolic groups is linear, which implies that hyperbolic groups which are sci (simply connected at infinity) have linear sci growth. Based on the linearity of the end-depth of finitely presented groups we show that the linear sci is preserved under amalgamated products over finitely generated one-ended groups. Eventually one proves that most non-uniform lattices have linear sci.
On -bubbles in n-dimensional compacta
A topological space X is called an -bubble (n is a natural number, is Čech cohomology with integer coefficients) if its n-dimensional cohomology is nontrivial and the n-dimensional cohomology of every proper subspace is trivial. The main results of our paper are: (1) Any compact metrizable -bubble is locally connected; (2) There exists a 2-dimensional 2-acyclic compact metrizable ANR which does not contain any -bubbles; and (3) Every n-acyclic finite-dimensional -trivial metrizable compactum...
On Handlebody Structures for Hypersurfaces in C3and CP3.
On Harder-Narashimhan stratification over Quot schemes.
On Heegaard Decompositions of Torus Knot Exteriors and Related Seifert Fibre Spaces.
On hierarchy of the positioned eco-grammar systems
Positioned eco-grammar systems (PEG systems, for short) were introduced in our previous papers. In this paper we engage in a new field of research, the hierarchy of PEG systems, namely in the hierarchy of the PEG systems according to the number of agents presented in the environment and according to the number of types of agents in the system.
On homology of real algebraic sets.
On homotopically regular mappings of manifolds
On Homotopy Invariance of Higher Signatures.
On homotopy types of 2-dimensional polyhedra
On hyperbolic 3-manifolds obtained by Dehn surgery on links.
On hyperbolic 3-manifolds realizing the maximal distance between toroidal Dehn fillings.
On immersions in bordism classes.
On Immersions of m-Manifolds in (m+1)-Manifolds.