Math 2.0

Order, lattices, ordered algebraic structures Maps between ordered sets Concept

Order embedding

Summary

An order embedding is a map between partially ordered sets that both preserves and reflects the order. It places a copy of one poset inside another, with exactly the same comparisons. An order embedding is automatically injective, and a surjective order embedding is an order isomorphism.

Further reading

  1. Web https://en.wikipedia.org/wiki/Order_embedding
About this page
TagRH0HD05BMN
URIm2://RH0HD05BMN
Kindconcept
WritingW0 stub
MSC06A06
SpecializesMonotone function
Same as
Changed2 November 2026

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