402.3B6 Infinite Unions and Intersections of Open Sets
Автор: Matthew Salomone
Загружено: 2022-01-31
Просмотров: 3064
Is the union of infinitely many open sets guaranteed to be open? (Yes) What about the intersection? (No) See how our finite intuitions fail. See the playlist: http://matthematics.com/real
0:00 Introduction
0:40 The Union of Infinitely Many Open Sets
3:35 The Intersection of Infinitely Many Open Sets
6:48 Example of an Infinite Intersection Fail
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