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Published 1981 | public
Book Section - Chapter

Souslin cardinals, κ-souslin sets and the scale property in the hyperprojective hierarchy

Abstract

Let Θ = sup{ξ : ξ is the length of a prewellordering of the set of reals R(= ω^ω)}. Let K < Θ be an infinite cardinal. The class §(k) of k-Souslin sets has some well-known closure properties, i.e. it is closed under continuous substitutions , countable intersections and unions, and existential quantification over R.

Additional Information

© 1981 Springer. Research partially supported by NSF Grant MCS79-20465. The author is an A. P. Sloan Foundation Fellow.

Additional details

Created:
August 19, 2023
Modified:
March 5, 2024