A cartesian closed category of smooth mappings

DOI10.1007/BF01547800zbMath0511.46043OpenAlexW281271307MaRDI QIDQ1838680

Andreas Kriegl

Publication date: 1983

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01547800

zbMATH Keywords

smooth mappingscartesian closednessbornology of function spaceschainrulesmoothness of the differentiation process

Mathematics Subject Classification ID

Barrelled spaces, bornological spaces (46A08) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items

Enriched locally convex structures, differential calculus and Riesz representation, \(C^{\infty}\)-algebras from the functional analytic view point, A free convenient vector space for holomorphic spaces, Topological improvements of categories of structured sets, Lie group valued integration in well-adapted toposes, The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type, On groups of Hölder diffeomorphisms and their regularity, Unnamed Item, Characters on algebras of smooth functions, Unnamed Item, More Smoothly Real Compact Spaces, The convenient setting for real analytic mappings, THE STRATIFIED STRUCTURE OF SPACES OF SMOOTH ORBIFOLD MAPPINGS, Aspects of the theory of infinite dimensional manifolds, The moment mapping for unitary representations

Cites Work

• A convenient setting for smooth manifolds
• Die richtigen Räume für Analysis im Unendlich-Dimensionalen
• Differential calculus in locally convex spaces
• Kompakt erzeugte Vektorräume und Analysis
• Differentiability of a Function and of its Compositions with Functions of One Variable.
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