- In mathematics,
especially in
order theory, a
preorder or
quasiorder is a
binary relation that is
reflexive and transitive. The name
preorder is meant...
- In the
branch of
mathematics known as topology, the
specialization (or canonical)
preorder is a
natural preorder on the set of the
points of a topological...
- ordinative, ordnance, ornery, parvorder, preordain, preorder, preordination,
quasiorder, reordain, reorder, reordination, suborder, subordinary, subordinate,...
-
Semiconnex Anti-
reflexive Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗
Preorder (
Quasiorder) ✗ ✗ ✗ ✗ ✗ ✗ Y ✗ ✗
Partial order ✗ Y ✗ ✗ ✗ ✗ Y ✗ ✗
Total preorder ✗ ✗...
- ordinative, ordnance, ornery, parvorder, preordain, preorder, preordination,
quasiorder, reordain, reorder, reordination, suborder, subordinate, subordination...
-
Semiconnex Anti-
reflexive Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗
Preorder (
Quasiorder) ✗ ✗ ✗ ✗ ✗ ✗ Y ✗ ✗
Partial order ✗ Y ✗ ✗ ✗ ✗ Y ✗ ✗
Total preorder ✗ ✗...
- when a quasi-order is well-founded. (Here, by
abuse of terminology, a
quasiorder ≤ {\displaystyle \leq } is said to be well-founded if the corresponding...
-
Semiconnex Anti-
reflexive Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗
Preorder (
Quasiorder) ✗ ✗ ✗ ✗ ✗ ✗ Y ✗ ✗
Partial order ✗ Y ✗ ✗ ✗ ✗ Y ✗ ✗
Total preorder ✗ ✗...
-
Semiconnex Anti-
reflexive Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗
Preorder (
Quasiorder) ✗ ✗ ✗ ✗ ✗ ✗ Y ✗ ✗
Partial order ✗ Y ✗ ✗ ✗ ✗ Y ✗ ✗
Total preorder ✗ ✗...
-
Semiconnex Anti-
reflexive Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗
Preorder (
Quasiorder) ✗ ✗ ✗ ✗ ✗ ✗ Y ✗ ✗
Partial order ✗ Y ✗ ✗ ✗ ✗ Y ✗ ✗
Total preorder ✗ ✗...
