Equimorphism invariants for scattered linear orderings

Antonio Montalbán. "Equimorphism invariants for scattered linear orderings." Fundamenta Mathematicae 191.2 (2006): 151-173. <http://eudml.org/doc/282788>.

@article{AntonioMontalbán2006,
abstract = { 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.. },
author = {Antonio Montalbán},
journal = {Fundamenta Mathematicae},
keywords = {invariant; embeddability; scattered linear orderings; scattered equimorphism types},
language = {eng},
number = {2},
pages = {151-173},
title = {Equimorphism invariants for scattered linear orderings},
url = {http://eudml.org/doc/282788},
volume = {191},
year = {2006},
}

TY - JOUR
AU - Antonio Montalbán
TI - Equimorphism invariants for scattered linear orderings
JO - Fundamenta Mathematicae
PY - 2006
VL - 191
IS - 2
SP - 151
EP - 173
AB - 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..
LA - eng
KW - invariant; embeddability; scattered linear orderings; scattered equimorphism types
UR - http://eudml.org/doc/282788
ER -