Topological algebras and abstract differential geometry
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Publication:1963324
DOI10.1007/BF02169286zbMath0936.53022WikidataQ115392732 ScholiaQ115392732MaRDI QIDQ1963324
Publication date: 25 January 2000
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Frobenius theoremconnection on a principal sheafcurvature of a connectiondifferential triad of an algebra
Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Connections (general theory) (53C05) Differential spaces (58A40)
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Remarks on the behaviour of higher-order derivations on the gluing of differential spaces, Pre-Lie groups in abstract differential geometry
Cites Work
- The differentiable space structures of Milnor classifying spaces, simplicial complexes, and geometric realizations
- On an axiomatic approach to geometric prequantization: a classification scheme à la Kostant-Souriau-Kirillov
- The de Rham-Kähler complex of the Gel'fand sheaf of a topological algebra
- The de Rham theorem for general spaces
- ON A GENERALIZATION OF THE NOTION OF MANIFOLD
- Differential modules
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