order-embedding

<mathematics>

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).

Last updated: 1995-02-03

Nearby terms:

Orca ♦ Order Code Processor ♦ order-embedding ♦ ordering ♦ ordinal ♦ ordinary differential equation

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