Separation of real algebraic sets and the Łojasiewicz exponent

Krzysztof Kurdyka, Stanisław Spodzieja · Proceedings of the American Mathematical Society · 2014

We discuss several aspects of Łojasiewicz inequalities, namely local and global versions, and the relations between the gradient inequality and regular separation of real algebraic sets. We give effective estimates for Łojasiewicz’s exponents in the real and complex setting.

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