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Rigidity properties of Borel ideals on the integers

✍ Scribed by Alexander S. Kechris

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
684 KB
Volume
85
Category
Article
ISSN
0166-8641

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✦ Synopsis

We classify the Bore1 ideals I on the set of natural numbers N for which p(N)/1 can be Bore1 embedded into the orbit space of a Bore1 action of the infinite symmetric group. As a consequence we show that certain Bore1 ideals I, including the FrCchet ideal, are completely characterized by the "Bore1 cardinality" of the set #)/I.

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