Abstract
In this paper we give a lower bound for the Łojasiewicz exponent at infinity of a special class of polynomial maps \({\mathbb{R}^n\to\mathbb{R}^s}\) , s ≥ 1. As a consequence, we detect a class of polynomial maps \({\mathbb{R}^n\to\mathbb{R}^n}\) that are global diffeomorphisms if their Jacobian determinant never vanishes.
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