upper bound

Let S be a set with a partial ordering , and let T be a subset of S. An upper boundMathworldPlanetmath for T is an element zS such that xz for all xT. We say that T is bounded from above if there exists an upper bound for T.

Lower bound, and bounded from below are defined in a similar manner.

Title upper bound
Canonical name UpperBound
Date of creation 2013-03-22 11:52:15
Last modified on 2013-03-22 11:52:15
Owner djao (24)
Last modified by djao (24)
Numerical id 9
Author djao (24)
Entry type Definition
Classification msc 06A06
Classification msc 11A07
Defines bound
Defines lower bound
Defines bounded
Defines bounded from above
Defines bounded from below