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Finding subsets front page
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[QUICK DESCRIPTION] This page contains links to articles that are about techniques for finding subsets with given properties of sets such as $\mathbb{N}$, $\mathbb{R}$, $\mathbb{R}^2$, the complete graph on $n$ vertices, the discrete cube, or the set of all subsets of $\mathbb{N}$. It is not about finding structured subsets such as subgroups or subspaces, so the techniques have a combinatorial flavour. === The articles === [[Just-do-it proofs]] [[How to use Zorn's lemma]] [[Transfinite induction]] [[How to use the continuum hypothesis]] [[Finding small nets]] [cut] Quick description || A $\delta$-''net'' of a metric space $X$ is a subset $\Delta\subset X$ such that for every $x\in X$ there exists $y\in\Delta$ such that $d(x,y)\leq\delta$. It is often useful to have a small $\delta$-net for a metric space. This article discusses a few techniques for finding them, giving particular reference to an idea that can be summarized by the following slogan: a maximal separated set is a net. [/cut] [[Probabilistic combinatorics front page]]
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