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2. Completeness (order theory) - Wikipedia

   en.wikipedia.org/wiki/Completeness_(order_theory)

   Other common names for the least element are bottom and zero (0). The dual notion, the empty lower bound, is the greatest element, top, or unit (1). Posets that have a bottom are sometimes called pointed, while posets with a top are called unital or topped. An order that has both a least and a greatest element is bounded.

3. Greatest element and least element - Wikipedia

   en.wikipedia.org/wiki/Greatest_element_and_least...

   The red subset = {,,,,,} has one greatest element, viz. 30, and one least element, viz. 1. These elements are also maximal and minimal elements , respectively, of the red subset. In mathematics , especially in order theory , the greatest element of a subset S {\displaystyle S} of a partially ordered set (poset) is an element of S {\displaystyle ...

4. Order theory - Wikipedia

   en.wikipedia.org/wiki/Order_theory

   In contrast, 0 is the number that is divided by all other numbers. Hence it is the greatest element of the order. Other frequent terms for the least and greatest elements is bottom and top or zero and unit. Least and greatest elements may fail to exist, as the example of the real numbers shows. But if they exist, they are always unique.

5. Infimum and supremum - Wikipedia

   en.wikipedia.org/wiki/Infimum_and_supremum

   There is a corresponding greatest-lower-bound property; an ordered set possesses the greatest-lower-bound property if and only if it also possesses the least-upper-bound property; the least-upper-bound of the set of lower bounds of a set is the greatest-lower-bound, and the greatest-lower-bound of the set of upper bounds of a set is the least ...

6. Trump picks his defense lawyers for top Justice Department posts

   www.aol.com/news/trump-picks-attorney-todd...

   WASHINGTON (Reuters) -U.S. President-elect Donald Trump on Thursday picked three members of his criminal defense team, including lead attorney Todd Blanche, to serve in senior roles at the Justice ...

7. Lattice (order) - Wikipedia

   en.wikipedia.org/wiki/Lattice_(order)

   A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet).