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Borel structures on the set of Borel mappings

✍ Scribed by Dimitris Georgiou; Ioannis Kougias; Athanasios Megaritis


Book ID
113933797
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
179 KB
Volume
159
Category
Article
ISSN
0166-8641

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## RBsumC. For each Bore1 set of reals of infinite rank A we obtain u "normal form" of A by finding a Bore1 set 62 such that A and 6! continuously reduce to each other. We do so by defining simple Bore1 operations which are homomorphic to the w, first Veblen ordinal operations of base (J, required

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## Abstract We consider morphisms (also called Galois‐Tukey connections) between binary relations that are used in the theory of cardinal characteristics. In [8] we have shown that there are pairs of relations with no Borel morphism connecting them. The reason was a strong impact of the first of th