Web Reference: 2 days ago · Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels. Jun 4, 2012 · A remark: regardless of whether it is true that an infinite union or intersection of open sets is open, when you have a property that holds for every finite collection of sets (in this case, the union or intersection of any finite collection of open sets is open) the validity of the property for an infinite collection doesn't follow from that. In other words, induction helps you prove a ... Q&A for people studying math at any level and professionals in related fields
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