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Answer by wolfe for A counter example, topology question
I think it's true now with the nonempty conditionNote that a subset of $\mathbb{R}^n$ is compact $\iff$ it is closed and bounded $\iff$ it is sequentially compactThe first important step is to realise...
View ArticleA counter example, topology question
Im looking for a counter example for the following problem:Let $ S_{1}\neq\emptyset $ be a compact set and $S_{2}\neq\emptyset $ a closed set.(Those are subsets of $ \mathbb{R}^n $ for some $ n $).So...
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