The sequence of functions $g_n=gX_{\{g>n\}}(x)$ converges to $gX_{\{g>\infty\}}$ as $n$ $\longrightarrow$ $\infty$. The set $\{g>\infty\}$ is equal to $\emptyset$ or to the set $\{g=\infty\}$?
Does the set $\{g>\infty\}$ make sense(in general)?
2026-03-29 17:52:56.1774806776
Empty sets and characteristic functions
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