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One of the propositions in the paper [D. Kleinbock and G.A. Margulis,Logarithm laws for flows on homogeneous spaces, Invent. Math. 138 (1999),451-494] related to approximating certain sets by smooth functions, wasrecently found to be incorrect. Here we correct the mistake.

Distance-like functions and smooth approximations: a correction to "Logarithm laws for flows on homogeneous spaces"