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A classification of ordinals up to Borel isomorphism

Su Gao; Steve Jackson; Vincent Kieftenbeld — 2008

Fundamenta Mathematicae

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.

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