Is the Set of Integers Closed in the Euclidean Plane? - Physics Forums

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Dec 11, 2011. Closed Integers Set. In summary, we are trying to prove that the set of all integers is closed when considered as a subset of \mathbb {R}^2 using the definition of a closed set. This means we need to show that if n is a limit point of the set, then n is also an element of the set. However, since the set of integers has no limit ...


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