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Advanced Calculus: Difference between revisions

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* (Topology)
* (Topology)


; Notes
* Union of infinitely many closed sets can be open.
* Intersection of infinitely many open sets can be closed.
* <math>\{\}</math and <math>\mathbb{R}</math> are both open and closed


Union of infinitely many closed sets can be open.
Intersection of infinitely many open sets can be closed.
===Compact===
===Compact===
Compactness is a generalization of closed and bounded.<br>
Compactness is a generalization of closed and bounded.<br>