Several readers: โWhatโs with this โsupremumโ and โinfimumโ stuff? Why
canโt you say โmaximumโ and โminimum,โ like a normal human being?โ
Answer: Because they are different things. The set of all real numbers
less than 1 has a supremum, but no maximum. That function of mine has lots
of maximums โ an infinity of them, in fact! โ and it also has a supremum;
but none of the maximums is equal to the supremum. Thatโs the point.
I really must start those pop quizzesโฆ






Comments