The erroneous statement (HHA 5 (2003), no. 1, 1-48) that the collection of unital A∞-categories, all A∞-functors, and all A∞-transformations (resp. equivalence classes of natural A∞-transformations) form a K-2-category KuA∞ (resp. ordinary 2-category uA∞) is corrected as follows. All 2-category axioms are satisfied, except that 1e·f does not necessarily equal 1ef for all composable 1-morphisms e, f. The axiom e·1f=1ef does hold. The mistake does not affect results on invertible 2-morphisms and quasi-invertible 1-morphisms in uA∞.
Homology, Homotopy and Applications, Vol. 9 (2007), No. 2, pp.163-164.
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