Abstract
Ifg andh are any nonzero functions on the class of convex polytopes then α(F i,F j) =g(F i)/h(F j) is a valuation whose inverse is ω(F i,F j) = (−1)j−i h(F i)/g(F j). This is proved and a smaller class of valuations are characterized: those α(F i,F j) which depend only oni andj and which have inverses of the same form.
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