Let f be a continuous function from R to R and let A be a subset of R^2. Define A={(x,y): y<f(x)}.(adsbygoogle = window.adsbygoogle || []).push({});

Can you express A as a cartesian product of two open sets? I tried RxU alpha_x where alpha_x = {y:y<f(x)}. But that didn't work, i need to change something about R.

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# Open sets and cartesian products

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