The complexity of the classification problem of continua

DOI10.1090/proc/13288zbMath1423.03171arXiv1510.08969OpenAlexW2963229202MaRDI QIDQ2951170

Su Gao, Cheng Chang

Publication date: 29 December 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08969

zbMATH Keywords

continuumcompact metric spaceBorel reducibilitypath-connectednessBorel bireducibilityuniversal orbit equivalence relation

Mathematics Subject Classification ID

Continua and generalizations (54F15) Descriptive set theory (03E15) Banach spaces of continuous, differentiable or analytic functions (46E15) Applications of set theory (03E75) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (4)

The complexity of homeomorphism relations on some classes of compacta with bounded topological dimension ⋮ THE COMPLEXITY OF HOMEOMORPHISM RELATIONS ON SOME CLASSES OF COMPACTA ⋮ Completeness of the homeomorphism relation of locally connected continua ⋮ The complexity of the classification problems of finite-dimensional continua

Cites Work

• Completeness of the isomorphism problem for separable \(C^\ast\)-algebras
• Isometry of Polish metric spaces
• The complexity of the homeomorphism relation between compact metric spaces
• Banach space methods in topology
• On the complexity of the uniform homeomorphism relation between separable Banach spaces
• Computing the complexity of the relation of isometry between separable Banach spaces
• The complexity of classifying separable Banach spaces up to isomorphism
• On the classification of Polish metric spaces up to isometry
• Classification problems in continuum theory
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