Synthetic aspects of \(C^{\infty}\)-mappings. II: Mather's theorem for infinitesimally represented germs

DOI10.1016/0022-4049(88)90117-XzbMath0657.18006MaRDI QIDQ1110648

Felipe Gago, Marta C. Bunge

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

synthetic differential geometryDubuc modelinfinitesimal notion of stabilitysynthetic Mather theoremWassermann's theory of unfoldings

Mathematics Subject Classification ID

Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)

Cites Work

• Synthetic aspects of \(C^\infty\)-mappings
• Smooth spaces versus continuous spaces in models for synthetic differential geometry
• Germ representability and local integration of vector fields in a well adapted model of SDG
• Synthetic characterization of reduced algebras
• Vector fields on \({\mathbb{R}}^{{\mathbb{R}}}\) in well adapted models of synthetic differential geometry
• Analyse différentielle
• Stability of unfoldings
• Stability of \(C^ \infty\) mappings. I: The division theorem
• Stability of \(C^\infty\) mappings. II: Infinitesimal stability implies stability
• Lie group valued integration in well-adapted toposes
• C ∞ -Schemes
• The measure of the critical values of differentiable maps
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