Linear algebra and topology

DOI10.1090/S0273-0979-1979-14667-6zbMath0412.57030MaRDI QIDQ4200885

Julius L. Shaneson, Sylvain E. Cappell

Publication date: 1979

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

topologically similarlinearly similardifferentiably similarlinear mappings of n-space

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Topological transformation groups (57S99) 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 ⋮ Topological classification of affine operators on unitary and Euclidean spaces ⋮ Topological classification of chains of linear mappings ⋮ Topologically equivalent two-dimensional isometries ⋮ Pseudofree actions and Hurwitz's 84(g-1) theorem ⋮ Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings ⋮ Dynamical classification for complex matrices ⋮ Topological classification of systems of bilinear and sesquilinear forms ⋮ Minimal subsystems of affine dynamics on local fields ⋮ Nonlinear similarity of matrices ⋮ Fixed points of periodic differentiable maps ⋮ The topological rationality of linear representations ⋮ Topologically equivalent \(n\)-dimensional isometries ⋮ Orthogonal transformations for which topological equivalence implies linear equivalence

Cites Work

• Unnamed Item
• Unnamed Item
• On the topological classification of linear representations
• A note on the Smith conjecture
• Stratifiable Maps and Topological Invariants
• Topological classification of linear endomorphisms