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Real Analytic Milnor Fibrations and a Strong \L ojasiewicz Inequality

Research paper by David B. Massey

Indexed on: 29 Nov '08Published on: 29 Nov '08Published in: Mathematics - Algebraic Geometry



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.