A Wadge hierarchy for second countable spaces

@article{Pequignot2015AWH,
  title={A Wadge hierarchy for second countable spaces},
  author={Yann Pequignot},
  journal={Arch. Math. Log.},
  year={2015},
  volume={54},
  pages={659-683}
}
Wadge reducibility provides a rich and nice analysis of Borel sets in Polish zero dimensional spaces. However, outside this framework, reducibility by continuous functions was shown to be ill behaved in many important cases. We define a notion of reducibility for subsets of a second countable T0 topological space based on the notions of admissible representations and relatively continuous relations. This reducibility can be seen as a generalisation of Wadge reducibility outside of the zero… CONTINUE READING

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