The complexity of the classification problem of continua

2015/10/30 by Cheng Chang, Chang, Cheng, Gao, Su
Mathematics · #46E15 #54F15 #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Mathematical Dynamics and Fractals #Primary 03E15 #Secondary 54H05

paper · pdf · doi:10.48550/arxiv.1510.08969

openalex publication_date 2015/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The complexity of the homeomorphism relation between compact metric\n spaces

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• The Complexity of the Classification Problems of Finite-Dimensional Continua