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Understanding the Least Upper Bound Property by Eduardo Rojas is a document available to read on EtoBox.
What is Understanding the Least Upper Bound Property about?
The document discusses the least-upper-bound property, which states that any non-empty subset of a set that has an upper bound also has a least upper bound. The real numbers have this property, as do integers, well-ordered sets, and functions of real numbers. However, rational numbers do not have this property, as demonstrated by the subset of numbers whose square is less than 2. The property is an example of completeness and indicates the existence of suprema.
- Author
- Eduardo Rojas
- Language
- EN