Real Algebraic and Analytic Geometry
Submission: 2014, December 3.
A local-global version of the implicit function theorem in o-minimal structures and a generalization of the theorem of Wilkie on covering open sets by open cells are proven.
Mathematics Subject Classification (2010): 14P10, 32B20, 03C64, 14P15.
Keywords and Phrases: implicit function, o-minimal structure.
Full text, 3p.: pdf 118k.