Abstract
A differentiable self-mapping of n-space is Samuelson if the leading principal minors of its Jacobian matrix vanish nowhere. The principal result of this paper is that a continuously differentiable Samuelson map of real n-space to itself, with component functions that have algebraic graphs, is bijective and decomposable into n semialgebraic diffeomorphisms, each of which changes only a single different coordinate. In particular, everywhere defined real rational Samuelson maps are univalent.
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