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)