... >> Mathematics >> Set Theory >> Order Relation
Highest Rated Sign
Nobody has posted a sign yet.
Definition: A relation C on a set A is called an order relation (or a simple order, or a linear order) if it has the following properties: 1) (Comparability) For every x and y in A for which x does not equal y, either xCy or yCx. 2) (Nonreflexivity) For no x in A does the relation xCx hold. 3) (Transitivity) If xCy and yCz, then xCz.
Source: Topology (second edition) by James R. Munkres