Topological classification of chains of linear mappings

DOI10.1016/j.laa.2012.03.026zbMath1250.15017arXiv1308.4223OpenAlexW2008864472MaRDI QIDQ426079

Tetiana Rybalkina, Vladimir V. Sergeichuk

Publication date: 11 June 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4223

zbMATH Keywords

topological equivalencechains of linear mappingslinearly isomorphictopologically isomorphic

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items

Topological classification of sesquilinear forms: reduction to the nonsingular case, Topological classification of the oriented cycles of linear mappings, Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings, Topological classification of systems of bilinear and sesquilinear forms

Cites Work

• Topological classification of affine operators on unitary and Euclidean spaces
• Classification of affine operators up to biregular conjugacy
• Conjugacy classes of affine automorphisms of \(\mathbb K^n\) and linear automorphisms of \(\mathbb P^n\) in the Cremona groups
• Non-linear similarity
• On the topological classification of linear representations
• Unitary and Euclidean representations of a quiver
• Computation of canonical matrices for chains and cycles of linear mappings.
• Canonical matrices for linear matrix problems
• When are topologically equivalent orthogonal transformations linearly equivalent?
• Complexity of matrix problems
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Classification of topologically conjugate affine mappings
• Nonlinear similarity of matrices
• Linear algebra and topology
• Topological conjugacy and structural stability for discrete dynamical systems
• Topological classification of linear endomorphisms