order-embedding

Technology Dictionary -> order-embedding

order-embedding



A function f : D -> C is order-embedding iff for all x, y in D,

f(x) <= f(y) <=> x <= y.

I.e. arguments and results compare similarly. A function which is order-embedding is monotonic and one-to-one and an injection.

("<=" is written in LaTeX as sqsubseteq).

(1995-02-03)


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