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σ-Homogeneity of Borel sets

✍ Scribed by Alexey Ostrovsky


Publisher
Springer
Year
2011
Tongue
English
Weight
115 KB
Volume
50
Category
Article
ISSN
0933-5846

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A "bad Bore1 subfield" of a space X is an infinite countably g-generated u-subfield of Bore1 sets none of which (other than 8 and X) is open or closed. X has "very bad Bore1 subfields" if, for each countable ordinal CY, there is such a field of Bore1 sets none of which (other than 0 and X) is of Bor

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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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