Synthetic aspects of \(C^\infty\)-mappings

DOI10.1016/0022-4049(83)90071-3zbMath0531.18005OpenAlexW2064980117MaRDI QIDQ788100

Marta C. Bunge

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-4049(83)90071-3

zbMATH Keywords

stabilityjetssynthetic differential geometrymodelsmooth functionsunfoldingssubmersionsSard theoremTransversalityDubuc modelformal manifoldpreimage theoremsynthetic theory of germstopos with ring object

Mathematics Subject Classification ID

Topoi (18B25) Grothendieck topologies and Grothendieck topoi (18F10) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)

Related Items

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

Cites Work

• Universal projective geometry via topos theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item