Definitions Quiz Flashcards
1
Q
Upper Bound
A
2
Q
Least Upper Bound (Supremum)
A
S is a least upper bound for A iff:
1) S is an upper bound for A
2) if t is an upper bound for A, s ≤ t
3
Q
Axiom of completeness
A
Every non-empty set that has an upper bound, has a least upper bound
4
Q
The set of real numbers
A
An ordered field containing Q (rational numbers) as a subfield and satisfy the axiom of completeness
