Topological algebras and abstract differential geometry

DOI10.1007/BF02169286zbMath0936.53022WikidataQ115392732 ScholiaQ115392732MaRDI QIDQ1963324

Yanyan Li

Publication date: 25 January 2000

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

zbMATH Keywords

Frobenius theoremconnection on a principal sheafcurvature of a connectiondifferential triad of an algebra

Mathematics Subject Classification ID

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)

Related Items

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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