Topological properties of real simple germs, curves, and the nice dimensions n > p

DOI10.1017/S0305004100058369zbMath0516.58013OpenAlexW2039118815MaRDI QIDQ3664080

James Damon

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100058369

zbMATH Keywords

Thom-Boardman symbolnice dimensionsinfinitesimally stable germstopological and analytic classificationsversal unfoldings of simple germs

Mathematics Subject Classification ID

Jets in global analysis (58A20) Singularities of differentiable mappings in differential topology (57R45) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (2)

Singular fibers of stable maps and signatures of 4-manifolds ⋮ Topological triviality of versal unfoldings of complete intersections

Cites Work

• Topological stability in the nice dimensions
• On the semi-universal deformation of a simple-elliptic hypersurface singularity. I: Unimodularity
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• Topological stability in the nice dimensions (𝑛⩽𝑝)
• Singularities and Plane Maps II: Sketching Catastrophes

This page was built for publication: Topological properties of real simple germs, curves, and the nice dimensions n > p