The complexity of the classification problem of continua
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- by Cheng Chang and Su Gao PDF
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Abstract:
We prove that the homeomorphism problem for connected compact metric spaces is Borel bireducible with a universal orbit equivalence relation induced by a Borel action of a Polish group.References
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Additional Information
- Cheng Chang
- Affiliation: Department of Mathematics, University of North Texas, 1155 Union Circle #311430, Denton, Texas 76203
- Email: chengchang@my.unt.edu
- Su Gao
- Affiliation: Department of Mathematics, University of North Texas, 1155 Union Circle #311430, Denton, Texas 76203
- MR Author ID: 347662
- Email: sgao@unt.edu
- Received by editor(s): October 30, 2015
- Received by editor(s) in revised form: April 2, 2016
- Published electronically: November 18, 2016
- Additional Notes: The second author acknowledges the US NSF grant DMS-1201290 for the support of his research.
- Communicated by: Mirna Džamonja
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1329-1342
- MSC (2010): Primary 03E15, 54F15; Secondary 54H05, 46E15
- DOI: https://doi.org/10.1090/proc/13288
- MathSciNet review: 3589329