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We investigate the semi-ringed topos obtained from the arithmetic site A of [3,4], by extension of scalars from the smallest Boolean semifield B to the tropical semifield R+max. The obtained site [0,∞)⋊N× is the semi-direct product of the Euclidean half-line and the monoid N× of positive integers acting by multiplication. Its points are the same as the points A(R+max) of A over R+max and form the...
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