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
Sanskrit language

... its grammar and lexicon (see History below) it turned into a classical language of strict esthetic rules and gave rise to considerable literature of drama in poetry and ...

 
 
 
This page was created in 38.9 ms