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A law on a vector space (e.g. the plane) with all one-dimensional marginals stable (of index less than 1) need not be stable, by examples of David Marcus. An error in the authors’ proof to the contrary is noted.

Correction to: ‘‘Zero-one laws for stable measures” [Proc. Amer. Math. Soc. {\bf 45} (1974), 245–252;\ MR {\bf 51} \#6901]