I am having a set $S=\{(x,y) \in \mathbb{R}^2 | x\in(-1,1), y\in(0,\infty) \} $. Does $\bar S$\S include the set of points for which $y\to\infty$; figuratively speaking, does it include the "boundary" at infinity?
Thanks for explanations!
2026-03-26 01:04:44.1774487084
Is infinity part of the boundary of R^n?
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Normally it doesn't. The overall space you are considering does not contain infinity either as a point itself. Normally for you to have infinity you would do a one point compactification of your space, very similar to the extended complex plane.