The completeness principle is a property of the real numbers, and is one of the foundations of real analysis. The most common formulation of this principle is that every non-empty set which is bounded from above has a supremum.
This statement can be reformulated in several ways. Each of the following statements is to the above definition of the completeness principle:
A sequence is convergent iff it is a Cauchy Sequence.
|Date of creation||2013-03-22 12:23:06|
|Last modified on||2013-03-22 12:23:06|
|Last modified by||mathcam (2727)|
|Synonym||least upper bound property|