Topological classification of chains of linear mappings

Abstract

We prove that two chains of linear mappings are topologically isomorphic if and only if they are linearly isomorphic.

14 pages

References in corpus (6)

• Canonical matrices for linear matrix problems
• Complexity of matrix problems
• Unitary and Euclidean representations of a quiver
• Computation of the canonical form for the matrices of chains and cycles of linear mappings
• Conjugacy classes of affine automorphisms of K^n and linear automorphisms of P^n in the Cremona groups
• Topological classification of affine operators on unitary and Euclidean spaces

Cited by in corpus (3)

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