Geodesic
Equimorphism invariants for scattered linear orderings
Antonio Montalbán1
1 Department of Mathematics University of Chicago Chicago, IL 60637, U.S.A.
Fundamenta Mathematicae, Tome 191 (2006) no. 2, pp. 151-173.

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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 $\alpha $, we explicitly describe the finite set of minimal scattered equimorphism types of Hausdorff rank $\alpha $. We compute the invariants of each of these minimal types..
DOI : 10.4064/fm191-2-3
Keywords: linear orderings equimorphic embedded each other define invariants scattered linear orderings which classify equimorphism essentially these invariants finite sequences finite trees ordinal labels each ordinal alpha explicitly describe finite set minimal scattered equimorphism types hausdorff rank alpha compute invariants each these minimal types

Antonio Montalbán 1

1 Department of Mathematics University of Chicago Chicago, IL 60637, U.S.A. 
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Antonio Montalbán. Equimorphism invariants for scattered linear orderings. Fundamenta Mathematicae, Tome 191 (2006) no. 2, pp. 151-173. doi : 10.4064/fm191-2-3. http://geodesic.mathdoc.fr/articles/10.4064/fm191-2-3/

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