2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/208301We give a strong version of a classic inequality of Łojasiewicz; 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.20 pagesAlgebraic Geometry32C18, 14P15, 26E05, 32B10, 32B20text