A classification of ordinals up to Borel isomorphism

Su Gao, Steve Jackson, and Vincent Kieftenbeld. "A classification of ordinals up to Borel isomorphism." Fundamenta Mathematicae 198.1 (2008): 61-76. <http://eudml.org/doc/283305>.

@article{SuGao2008,
abstract = {We consider the Borel structures on ordinals generated by their order topologies and provide a complete classification of all ordinals up to Borel isomorphism in ZFC. We also consider the same classification problem in the context of AD and give a partial answer for ordinals ≤ω₂.},
author = {Su Gao, Steve Jackson, Vincent Kieftenbeld},
journal = {Fundamenta Mathematicae},
keywords = {order topology; ordinals; Borel isomorphism; Borel -algebra},
language = {eng},
number = {1},
pages = {61-76},
title = {A classification of ordinals up to Borel isomorphism},
url = {http://eudml.org/doc/283305},
volume = {198},
year = {2008},
}

TY - JOUR
AU - Su Gao
AU - Steve Jackson
AU - Vincent Kieftenbeld
TI - A classification of ordinals up to Borel isomorphism
JO - Fundamenta Mathematicae
PY - 2008
VL - 198
IS - 1
SP - 61
EP - 76
AB - We consider the Borel structures on ordinals generated by their order topologies and provide a complete classification of all ordinals up to Borel isomorphism in ZFC. We also consider the same classification problem in the context of AD and give a partial answer for ordinals ≤ω₂.
LA - eng
KW - order topology; ordinals; Borel isomorphism; Borel -algebra
UR - http://eudml.org/doc/283305
ER -