The complexity of the homeomorphism relation between compact metric spaces
作者： Joseph Zielinski
DOI: 10.1016/J.AIM.2015.11.051
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摘要: Abstract We determine the exact complexity of classifying compact metric spaces up to homeomorphism. More precisely, homeomorphism relation on is Borel bi-reducible with complete orbit equivalence Polish group actions. Consequently, same holds for isomorphism between separable commutative C*-algebras and isometry C(K)-spaces.
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