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We show that for spaces with rational cohomology an exterior algebra on odd dimensional generators, one can define a torsion invariant which is a rational number. This may be interpreted as an absolute version of the multiplicative Euler characteristic associated to a rational homotopy equivalence. 0. Introduction. Reidemeister torsion of a finite complex X, with trivial action of the fundamental group on rational homology, takes values indoi:10.2307/2047255 fatcat:nhmll5y5wvbyxndrbwi2lwxxcm