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Coincidence of the homological dimensions of the Fréchet algebra of smooth functions on a manifold with the dimension of the manifold

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Publication:580668
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DOI10.1007/BF01078482zbMath0626.46057MaRDI QIDQ580668

O. S. Ogneva

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

cohomological dimensions


Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of topological algebras (46H05)


Related Items (4)

On certain homological properties of Stein algebras ⋮ Derivations and cohomologies of Lipschitz algebras ⋮ Open embeddings and pseudoflat epimorphisms ⋮ Point derivations and cohomologies of Lipschitz algebras



Cites Work

  • Homology and cohomology for topological algebras
  • A general framwork for a multi-operator functional calculus


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