A classification of ordinals up to Borel isomorphism
Su Gao ; Steve Jackson ; Vincent Kieftenbeld
Fundamenta Mathematicae, Tome 201 (2008), p. 61-76 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:283305 
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     year = {2008},
     pages = {61-76},
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Su Gao; Steve Jackson; Vincent Kieftenbeld. A classification of ordinals up to Borel isomorphism. Fundamenta Mathematicae, Tome 201 (2008) pp. 61-76. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm198-1-3/