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We call a measure $\\mu$ from $M_\\infty(X)$ non-defective ($\\mu \\in M_\\infty^0(X)$) if $\\mu(M_\\mu) = 0$. The paper is devoted to the classification of measures $\\mu$ from $M_\\infty^0(X)$ with respect to a homeomorphism. The notions of goodness and clopen values set $S(\\mu)$ are defined for a non-defective measure $\\mu$. 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