Today, the World Economic Forum updated the Global Competitiveness Report. Japan has received better assessment of the 6th best competitive economy; the previous report gave the country the 8th rank. The figures in the report indicate that the state of the Japanese business and innovation is brilliant but the economic sophistication is overshadowed by the [...]

An exercise from Torres (1990): Prove the following statement. Let $X$ be a Hausdorff space and $Y$ a compact Hausdorff space. If $C$ is a nonempty-valued correspondence from $X$ into $Y$, then $C$ is upper hemicontinuous. Related Def’s: 1. The inverse image of $F \in Y$ is defined by $\{ x \in X : C(x) [...]