A classification of ordinals up to Borel isomorphism

• Autorzy: Su Gao , Steve Jackson , Vincent Kieftenbeld
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03E60: Determinacy principles
• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 06F30: Topological lattices, order topologies
• 03E10: Ordinal and cardinal numbers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 198
• Numer: 1
• Strony: 61-76

Daty

wydano

2008

Twórcy

autor

Su Gao

• Department of Mathematics, University of North Texas, P.O. Box 311430, Denton, TX 76203-1430, U.S.A.

autor

Steve Jackson

• Department of Mathematics, University of North Texas, P.O. Box 311430, Denton, TX 76203-1430, U.S.A.

autor

Vincent Kieftenbeld

• Department of Mathematics, University of North Texas, P.O. Box 311430, Denton, TX 76203-1430, U.S.A.

Identyfikatory

DOI

10.4064/fm198-1-3