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Published May 22, 1998 | public
Journal Article

Rigidity properties of Borel ideals on the integers

Abstract

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

Additional Information

© 1998 Elsevier Science B.V. Received 30 September 1996. Research partially supported by NSF grant DMS-9317509.

Additional details

Created:
August 22, 2023
Modified:
March 5, 2024