Abstract: Based on the dynamic characteristic of outer P-set, this paper gave concepts of F-outer embedding information,its core and its measurement, Then using these concepts the paper obtained sequence theorems such as iterative F-outer embedding information theorem,F-outer embedding information existing theorem,F-heredity theorem of F-outer embedding information, the recovery-restore theorem of F-heredity, and so on. At the end, application about F-heredity identification was presented. One of the important characteristics of outer P-set is to discover the information existing out of some information, and this discovery was finished by F-heredity.

Key words: P-sets,0uter P-sets,F-outer embedding,F-heredity,Identification of F-heredity information,Application