Local homeo- and diffeomorphisms: invertibility and convex image

DOI10.1017/S000497270001649XzbMath0814.58010MaRDI QIDQ4305822

Gianluca Gorni, Gaetano Zampieri

Publication date: 18 June 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

invertibilitylocal diffeomorphismslocal homeomorphismconvex image

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Implicit function theorems, Jacobians, transformations with several variables (26B10) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (3)

Global inversion of functions: An introduction ⋮ Convexity of reachable sets of nonlinear ordinary differential equations ⋮ Computation of Discrete Abstractions of Arbitrary Memory Span for Nonlinear Sampled Systems

Cites Work

• Finding domains of invertibility for smooth functions by means of attraction basins
• Inversion of smooth mappings
• On the Jacobian conjecture for global asymptotic stability
• On global univalence theorems
• Covering spaces, fibre spaces, and local homeomorphisms
• A criterion of invertibility in the large for local diffeomorphisms between Banach spaces
• Diffeomorphisms with Banach space domains
• Local Mapping Relations and Global Implicit Function Theorems

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