Title: TCS-oriented variations on the Wadge reducibility

Abstract:
Wadge reducibility on the Baire and Cantor spaces is of primary importance
for  descriptive set theory. Some of its variations are also useful in
several fields of theoretical computer science. We discuss some such
variations including:
- effective versions of the Wadge reducibiility in the Cantor space used for
characterizing infinite behaviour of computing devices;
- Wadge reducibility and its effective versions in some other spaces of
interest for computer science, e.g. in the space of reals or in algebraic
domains;
- extension of the Wadge reducibility to the case of finite partitions of
the above-mentioned spaces.
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