Generalizing the notion of the degree of a finite-to-one factor code from a shift of finite type, the class degree of a possibly infinite-to-one factor code extends many important properties of degree. In this paper, introducing relative class degree, we study how class degrees change as two factor codes are composed, in comparison with degrees.
Generalizing the notion of the degree of a finite-to-one factor code from a shift of finite type, the class degree of a possibly infinite-to-one factor code extends many important properties of degree. In this paper, introducing relative class degree, we study how class degrees change as two factor codes are composed, in comparison with degrees.