Germ representability and local integration of vector fields in a well adapted model of SDG

DOI10.1016/0022-4049(90)90152-8zbMath0702.18008OpenAlexW2005186074MaRDI QIDQ914822

Eduardo J. Dubuc

Publication date: 1990

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(90)90152-8

zbMATH Keywords

synthetic differential geometrygerm representability axiomlocal integration of vector fieldsparacompact \(C^{\infty }\)-manifoldsPenon opens

Mathematics Subject Classification ID

Topoi (18B25) Synthetic differential geometry (51K10) 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, Connected Lie groupoids are internally connected and integral complete in synthetic differential geometry, Unnamed Item

Cites Work

• Logical opens and real numbers in topoi
• Vector fields on \({\mathbb{R}}^{{\mathbb{R}}}\) in well adapted models of synthetic differential geometry
• C ∞ -Schemes
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• Unnamed Item
• Unnamed Item