Preordered
Definition, Meaning & Examples
Part of speech verb
Quick meaning: Preordered is a verb meaning simple past and past participle of preorder.
Meaning
simple past and past participle of preorder.
More Meanings
- (set theory, order theory, of a set) Equipped with a preorder.
Example Sentences
Most of the theory of this section on linear order spaces (and cones) can be generalized to preordered linear spaces (and wedges).
We remind the reader that the barycentric subdivision sd(P) of a preordered set P is the poset of chains in P, ordered by inclusion.
It can be proved [see Herden (1989a,c, 1990, 1993a,b) and Herden and Mehta (1997a) that a continuous isotone (or strictly isotone) function defined on a closed subset K of a preordered topological space X has a continuous isotone (or strictly isotone) extension to a function g on X if and only if there is a separable system on X which satisfies certain "separation" conditions.
Related Words
Related dictionary entries include traversal, pre-order, preordinate, preposed, precomplete, prefinite.
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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