Definition:Infimum


 * Infimum of Ordered Set
 * Infimum of Subset of Real Numbers


 * Infimum of Mapping
 * Infimum of Real-Valued Function


 * Infimum of Sequence
 * Infimum of Real Sequence

Also known as
Particularly in the field of real analysis, the infimum is also known as the greatest lower bound.

Also defined as
Some sources refer to the infimum as being the lower bound. Using this convention, any element greater than this is not considered to be a lower bound.

Linguistic Note
The plural of infimum is infima, although the (incorrect) form infimums can occasionally be found if you look hard enough.

Also see

 * Definition:Bounded Above
 * Definition:Upper Bound


 * Definition:Bounded Below
 * Definition:Lower Bound


 * Definition:Bounded
 * Definition:Bound


 * Definition:Supremum


 * Definition:Unbounded
 * Definition:Unbounded Above
 * Definition:Unbounded Below