Equimorphism invariants for scattered linear orderings

• Autorzy: Antonio Montalbán
• Języki publikacji: EN

Abstrakty

EN

Two linear orderings are equimorphic if they can be embedded in each other. We define invariants for scattered linear orderings which classify them up to equimorphism. Essentially, these invariants are finite sequences of finite trees with ordinal labels.
Also, for each ordinal α, we explicitly describe the finite set of minimal scattered equimorphism types of Hausdorff rank α. We compute the invariants of each of these minimal types..

Kategorie tematyczne

• 03E04: Ordered sets and their cofinalities; pcf theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 191
• Numer: 2
• Strony: 151-173

Daty

wydano

2006

Twórcy

autor

Antonio Montalbán

• Department of Mathematics, University of Chicago, Chicago, IL 60637, U.S.A.

Identyfikatory

DOI

10.4064/fm191-2-3