Encyclopedia > Embedding

  Article Content

Embedding

In mathematics, an embedding is one instance of some mathematical object contained within another instance, such as a group which is a subgroup.

In domain theory[?], an embedding is 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).

Based on an article from FOLDOC, used by permission.



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
East Farmingdale, New York

... age or older. The average household size is 3.10 and the average family size is 3.52. In the town the population is spread out with 26.0% under the age of 18, 9.4% from ...

 
 
 
This page was created in 21.4 ms