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Games characterizing certain families of functions

  • Marek Balcerzak,
  • Tomasz Natkaniec,
  • Piotr Szuca

摘要

We obtain several game characterizations of Baire 1 functions between Polish spaces X, Y which extends the recent result of V. Kiss. Then we propose similar characterizations for equi-Bare 1 families of functions. Also, using related ideas, we give game characterizations of Baire measurable and Lebesgue measurable functions.