Open Set, Closed Set, Bounded Set, Compact Set, Connected Set: Topology part-3 - YouTube
Point sets in one, two, three and n-dimensional Euclidean spaces. Neighborhoods, closed sets, open sets, limit points, isolated points. Interior, exterior and boundary points. Derived set. Closure of a set. Perfect set.
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Let $A$ be a closed and bounded subset of $\mathbb{R}$ with the standard (order) topology. Then $A$ is a compact subset of $\mathbb{R}$. - Mathematics Stack Exchange
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FUNCTIONAL ANALYSIS LECTURE NOTES: COMPACT SETS AND FINITE-DIMENSIONAL SPACES 1. Compact Sets Definition 1.1 (Compact and Totall
