It is shown that lower semi-continuous compact-valued mapping of atopological space $X$ into a super-$σ$-metrizable space $Y$ is upper semi-continuous in every point of a residual set in $X$ and every lower semi-continuous finite-valued mapping of locally connected space $X$ into Sorgenfrei line is locally constant in every point of an open residual set in $X$. Besides, there are examples of upper (lower) separetely continuous compact-valued mappings of the squere $[0, 1]^2$ into the segment $[0, 1]$ which are not upper (lower) semi-continuous in any point.

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