5 citations · 9 across the 6 of their papers we have counts for
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Homotopy types of finite étale spaces and generalized inflations
Anton Ayzenberg, Nadya Khoroshavkina
Inflation of a simplicial complex is a construction well known in combinatorial topology. It replaces each vertex of with a finite number of its copies, and each…
Topological approach to diagonalization algorithms
Anton Ayzenberg, Konstantin Sorokin
In this paper we prove that there exists an asymptotical diagonalization algorithm for a class of sparse Hermitian (or real symmetric) matrices if and only if the matrices become H…
Topology of nerves and formal concepts
Anton Ayzenberg
The general goal of this paper is to gather and review several methods from homotopy and combinatorial topology and formal concepts analysis (FCA) and analyze their connections. FC…
Space of isospectral periodic tridiagonal matrices
Anton Ayzenberg
A periodic tridiagonal matrix is a tridiagonal matrix with additional two entries at the corners. We study the space of Hermitian periodic tridiagonal -matrice…
Torus actions of complexity one and their local properties
Anton Ayzenberg
We consider an effective action of a compact (n-1)-torus on a smooth 2n-manifold with isolated fixed points. We prove that under certain conditions the orbit space is a closed topo…