EDB — 13J

Exercises

1. [13J]Let \(I\) be a family of indices. Supposte that, for \(n∈ I\), \(f_ n:X→ℝ\) are l.s.c. functions. We define \(f{\stackrel{.}{=}}\sup _{n∈ I}f_ n\), then \(f\) is l.s.c. (defined as \(f:X→ℝ∪\{ +∞\} \)). ¹ .

   Solution 1

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