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The complexity of the classification problem of continua

Cheng Chang, Su Gao
2016 Proceedings of the American Mathematical Society  
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.
doi:10.1090/proc/13288 fatcat:6w2zqalsarb7hf7cou5qi3ykti