Is $$ \left\{\cup _{n \in \mathbb{N} } (x, x^n) \mid x \in [0,1] \right\} $$ compact? My answer would be it isn't because it doesn't contain all its accumulation points ( for example the point $ (1/2,0) $)
2026-03-30 18:42:21.1774896141
Is $ \left\{\cup _{n \in \mathbb{N} } (x, x^n) \mid x \in [0,1] \right\} $ compact?
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