This preview shows page 1. Sign up to view the full content.
Unformatted text preview: Completeness Axiom, there exists a supremum, b, and infimum, a. By definition, a <= x for all x in S and b >= x for all x in S. inf(S) <= x <= sup(S) which implies inf(S) = x = sup(S). Therefor there is only one number in the set....
View Full Document
This note was uploaded on 06/05/2008 for the course MATH 534A taught by Professor Kirschvink during the Spring '08 term at San Diego State.
- Spring '08
- Real Numbers