Inverse mapping theorem and local forms of continuous mappings

DOI10.1016/j.topol.2015.10.013zbMath1330.55003OpenAlexW2145130915MaRDI QIDQ897972

Alexandre Paiva Barreto, Luiz Hartmann, Marcio Colombo Fenille

Publication date: 8 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.10.013

zbMATH Keywords

local degreeinverse mapping theoremlocal immersion theoremlocal submersion theorem

Mathematics Subject Classification ID

Degree, winding number (55M25) Flatness and tameness of topological manifolds (57N45) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (1)

Remarks on the inverse and implicit function theorems for differentiable functions

Cites Work

• The implicit function theorem for continuous functions
• Discrete maps on manifolds
• A homological version of the implicit function theorem
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