Accession Number : AD0620603

Title :   REGULAR MINIMAL SETS, I.

Descriptive Note : Technical rept.,

Corporate Author : YALE UNIV NEW HAVEN CONN

Personal Author(s) : Auslander,Joseph

Report Date : 1965

Pagination or Media Count : 23

Abstract : A central problem in topological dynamics is the classification of minimal sets. In full generality, this problem appears to be quite difficult. Therefore, it seems appropriate to single out certain minimal sets which are 'well behaved' in some sense, and therefore more amenable to classification. It is for this purpose that we introduce the regular minimal sets in this paper. They are the universal minimal sets for certain ('admissible') properties. Several characterizations are given (theorem 3); the class of regular minimal sets is shown to coincide with the minimal right ideals of enveloping semigroups of transformation groups. and also with those minimal sets having a maximal supply of endomorphisms. (Author)

Descriptors :   (*SET THEORY, GROUPS(MATHEMATICS)), (*GROUPS(MATHEMATICS), TOPOLOGY), TRANSFORMATIONS(MATHEMATICS), ALGEBRAIC TOPOLOGY

Distribution Statement : APPROVED FOR PUBLIC RELEASE