Real Algebraic and Analytic Geometry
Submission: 2007, September 27.
A main tool in studying topological properties of sets definable in o- minimal structures is the Cell Decomposition Theorem. The present paper proposes its metric counterpart based on the idea of a Lipschitz cell. In contrast to earlier results, we give an algorithm of a Lipschitz cell decomposition involving only permu- tations of variables as changes of coordinates.
Mathematics Subject Classification (2000): 32B20, 14P10. 32S60, 51N20, 51F99.
Keywords and Phrases: M-cell, semi-M-cell, M-disc, Lipschitz mapping, cell decomposition.
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