Geodesic
A classification of ordinals up to Borel isomorphism
Su Gao 1   ; Steve Jackson 1   ; Vincent Kieftenbeld 1
1 Department of Mathematics University of North Texas P.O. Box 311430 Denton, TX 76203-1430, U.S.A.
Fundamenta Mathematicae, Tome 198 (2008) no. 1, pp. 61-76 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\mathsf {ZFC}$. We also consider the same classification problem in the context of $\mathsf {AD}$ and give a partial answer for ordinals $\leq\omega_2$.
DOI : 10.4064/fm198-1-3
Keywords: consider borel structures ordinals generated their order topologies provide complete classification ordinals borel isomorphism mathsf zfc consider classification problem context mathsf partial answer ordinals leq omega

Su Gao  1   ; Steve Jackson  1   ; Vincent Kieftenbeld  1

1 Department of Mathematics University of North Texas P.O. Box 311430 Denton, TX 76203-1430, U.S.A. 
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Su Gao; Steve Jackson; Vincent Kieftenbeld. A classification of ordinals up to Borel isomorphism. Fundamenta Mathematicae, Tome 198 (2008) no. 1, pp. 61-76. doi: 10.4064/fm198-1-3

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