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What's the consequence of extending the reals with infinities, as my textbook for real analysis does?
by threatofrain 5y ago
What's the consequence of extending the reals with infinities, as my textbook for real analysis does?
- rocqua 5y agoThat every closed set has a maximum and a minimum. Relatedly, every set gets a supremum and an infumum. (The first two must be members of the set. The second two can lie outside the set). Without the extension, you need to make an exception for unbounded sets with the above rules.