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1 results

  • COMPACT METRIZABLE STRUCTURES AND CLASSIFICATION PROBLEMS

  • CHRISTIAN ROSENDAL, JOSEPH ZIELINSKI
  • Journal:
    The Journal of Symbolic Logic / Volume 83 / Issue 1 / March 2018
    Published online by Cambridge University Press:
    01 May 2018, pp. 165-186
    Print publication:
    March 2018

  • We introduce and study the framework of compact metric structures and their associated notions of isomorphisms such as homeomorphic and bi-Lipschitz isomorphism. This is subsequently applied to model various classification problems in analysis such as isomorphism of C*-algebras and affine homeomorphism of Choquet simplices, where among other things we provide a simple proof of the completeness of the isomorphism relation of separable, simple, nuclear C*-algebras recently established by M. Sabok.