The de Rham-Kähler complex of the Gel'fand sheaf of a topological algebra

DOI10.1006/jmaa.1993.1159zbMath0805.46046OpenAlexW2066930486MaRDI QIDQ2367774

Anastasios Mallios

Publication date: 15 August 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1159

zbMATH Keywords

Waelbroeck algebraexponential exact sequenceGel'fand sheafPicard group of a commutative unital Banach algebratopological free de Rham-Kähler complex

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) de Rham theory in global analysis (58A12) General theory of topological algebras (46H05) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (8)

`Third' quantization of vacuum Einstein gravity and free Yang-Mills theories ⋮ Finitary topos for locally finite, causal and quantal vacuum Einstein gravity ⋮ On the Bishop boundary in topological algebras ⋮ Differential algebras with dense singularities on manifolds ⋮ On an axiomatic approach to geometric prequantization: a classification scheme à la Kostant-Souriau-Kirillov ⋮ Topological algebras and abstract differential geometry ⋮ Space-time foam differential algebras of generalized functions and a global Cauchy-Kovalevskaia theorem ⋮ Finitary-algebraic `resolution' of the inner Schwarzschild singularity

This page was built for publication: The de Rham-Kähler complex of the Gel'fand sheaf of a topological algebra