embedding

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embedding

1. One instance of some mathematical object contained with in another instance, e.g. a group which is a subgroup.

2. (domain theory) A complete partial order F in [X -> Y] is an embedding if

(1) For all x1, x2 in X, x1 <= x2 <=> F x1 <= F x2 and

(2) For all y in Y, x | F x <= y is directed.

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

(1995-03-27)