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Real Analytic Milnor Fibrations and a Strong \L ojasiewicz Inequality

Algebraic Geometry 2008-11-29 v5

Abstract

We give a strong version of a classic inequality of \L ojasiewicz; one which collapses to the usual inequality in the complex analytic case. We show that this inequality for a pair, quadruple, or octuple of real analytic functions allows us to construct a real Milnor fibration inside a ball.

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Cite

@article{arxiv.math/0703613,
  title  = {Real Analytic Milnor Fibrations and a Strong \L ojasiewicz Inequality},
  author = {David B. Massey},
  journal= {arXiv preprint arXiv:math/0703613},
  year   = {2008}
}

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20 pages