elementary embedding (original) (raw)

Remark. A chain š’œ1āŠ†š’œ2āŠ†ā‹ÆāŠ†š’œnāŠ†ā‹Æ of Ļ„-structures is called an elementary chain if š’œi is an elementary substructure of š’œi+1 for each i=1,2,…. It can be shown (Tarski and Vaught) that

is a Ļ„-structure that is an elementary extension of š’œi for every i.

Title elementary embedding
Canonical name ElementaryEmbedding
Date of creation 2013-03-22 13:00:29
Last modified on 2013-03-22 13:00:29
Owner CWoo (3771)
Last modified by CWoo (3771)
Numerical id 5
Author CWoo (3771)
Entry type Definition
Classification msc 03C99
Synonym elementary monomorphism
Defines elementary substructure
Defines elementary extension
Defines elementary chain