On the de Rham complex in abstract spaces

DOI10.1007/BF02169287zbMath0933.55019MaRDI QIDQ1963327

Maria H. Papatriantafillou

Publication date: 25 January 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

sheaf of algebrasde Rham complex of a moduledifferential triad of an algebra

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Categories in geometry and topology (18F99) Homology and cohomology theories in algebraic topology (55N99) Abstract complexes in algebraic topology (55U05) Shapes (aspects of topological manifolds) (57N25)

Related Items

Finitary-algebraic `resolution' of the inner Schwarzschild singularity, Pre-Lie groups in abstract differential geometry

Cites Work

• Manifolds over function algebras and mapping spaces
• Differential calculus in topological linear spaces
• On a differential structure for the group of diffeomorphisms
• Some Frobenius theorems in global analysis
• Differentialkalkül für nicht-metrische Strukturen. II: Differentialformen
• Vector Bundles and Projective Modules
• The various definitions of the derivative in linear topological spaces
• Differential modules
• Bump-functions on certain infinite dimensional manifolds
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