Find the cardinality of the set of all norms on R^n (hint: show that every norm   : R n → R is continuous).
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Leave a comment if you need any clarifications.

Do you also need the proofs for your other question or just the answer? I would say your offered amount is a bit low.

Proofs, how much more do you think i should add?

Well, it indeed needs three proofs (one for each case ) and will take about an hour to write. I think the offer should be at least tripled.

Okay i'll do that

I suggest you to also set a later deadline, if possible. 4 hours is too early for this kind of high level questions.

Hey Phillip, i just realized, don't i need a lower bound for the Cardinality for the set of all norms

Cool. So you do not need the second part of the argument.

im confused. I still need a lower bound for the cardinality for the set of all norms

Suppose you have a norm  .  . Then for any real number a, a* .  is also a norm. So The cardinality of the set of norms is at least that of the continuum. I hope this makes it clear.

See also the attached file.
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