#did I interpret this statement correctly?

13 messages · Page 1 of 1 (latest)

trail wave
#

Are they saying that Q is a subfield of R, and Q has a supremum in R? How is that possible? Q can have arbitrarily large elements right?

silver narwhalBOT
#
  1. Wait patiently for a helper to come along.
  2. Once someone helps you, say thank you and close the thread with:
+close
  1. Feel free to nominate the person for helper of the week in #helper-nominations
  2. Do not ping the mods, unless someone is breaking the rules.
  3. If you're happy with the help you got here, and the server overall, you can contribute financially as well:
trail wave
#

Are they saying any subset of Q will have a supremum in R?

terse hawk
#

it's saying Q is a subfield of R, and R obeys the LUB property: If S is contained in R and is bounded above, then S has a least upper bound

trail wave
#

Yeah that makes sense

#

I thought the subfield Q has a supremum

terse hawk
#

no

trail wave
#

Lol

#

Alr thanks

#

+close