Infimum and supremum

In mathematics, the infimum or greatest lower bound of a set A, written as , is the  greatest element among all lower bounds of A. Similarly, the supremum or least upper bound of A, written as , is the smallest element among all upper bounds of A.

For example, if A is the set , then  and . Infimum and supremum are unique, if they exist. Infimum and supremum are key concepts in the field of mathematical analysis.

 Related pages 
 Maximum and minimum

 References 

Category:Mathematical analysis
Category:Set theory