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ITA
2007
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13 years 11 months ago
Automata, Borel functions and real numbers in Pisot base
This note is about functions f : Aω → Bω whose graph is recognized by a B¨uchi finite automaton on the product alphabet A × B. These functions are Baire class 2 in the Bair...
Benoit Cagnard, Pierre Simonnet
APAL
2010
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13 years 11 months ago
The effective theory of Borel equivalence relations
The study of Borel equivalence relations under Borel reducibility has developed into an important area of descriptive set theory. The dichotomies of Silver ([19]) and Harrington-K...
Ekaterina B. Fokina, Sy-David Friedman, Asger T&ou...