Smooth Extensions in Infinite Dimensional Banach Spaces

DOI10.2307/1996165zbMath0229.58003OpenAlexW4250683323MaRDI QIDQ5637660

Peter L. Renz

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1996165

Mathematics Subject Classification ID

Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (2)

Extraction of critical points of smooth functions on Banach spaces ⋮ Smooth approximations without critical points of continuous mappings between Banach spaces, and diffeomorphic extractions of sets

Cites Work

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• The homotopy type of the unitary group of Hilbert space
• Der Homotopietyp der Automorphismengruppe in den Räumen \(l_ p\) und \(c_ 0\)
• Hilbert manifolds
• Open embeddings of certain Banach manifolds
• On a Theorem of Klee
• Representations of infinite dimensional manifolds and ∞-𝑝 homology functors
• Strongly negligible sets in Fréchet manifolds
• Negligible Subsets of Infinite-Dimensional Frechet Manifolds
• Convex Bodies and Periodic Homeomorphisms in Hilbert Space

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