New directions in descriptive set theory

  title={New directions in descriptive set theory},
  author={Alexander S. Kechris},
  journal={Bulletin of Symbolic Logic},
§1. I will start with a quick definition of descriptive set theory: It is the study of the structure of definable sets and functions in separable completely metrizable spaces. Such spaces are usually called Polish spaces. Typical examples are Rn, Cn, (separable) Hilbert space and more generally all separable Banach spaces, the Cantor space 2N, the Baire space NN, the infinite symmetric group S∞, the unitary group (of the Hilbert space), the group of measure preserving transformations of the… CONTINUE READING

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