Glossary of Order Theory - T

  • Top. See unit.
  • Total order. A total order T is a partial order in which, for each x and y in T, we have xy or yx. Total orders are also called linear orders or chains.
  • Transitive. A relation R on a set X is transitive, if x R y and y R z imply x R z, for all elements x, y, z in X.

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