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The complexity of the classification problem of continua

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arxiv 1510.08969 v2 pith:WUGWNF4O submitted 2015-10-30 math.LO math.GN

The complexity of the classification problem of continua

classification math.LO math.GN
keywords borelproblemactionbireducibleclassificationcompactcomplexityconnected
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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.

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