What does preordered mean?
Preordered means simple past and past participle of preorder.
Looking up this word…
Checking saved dictionary data and trusted language sources. This will stop automatically if a source does not respond.
Checking saved dictionary data and trusted language sources. This will stop automatically if a source does not respond.
Pronunciation varies by accent · verb
simple past and past participle of preorder.
Most of the theory of this section on linear order spaces (and cones) can be generalized to preordered linear spaces (and wedges).
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.
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.
Use preordered when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Preordered means simple past and past participle of preorder.
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
Most of the theory of this section on linear order spaces (and cones) can be generalized to preordered linear spaces (and wedges).
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.