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Trichotomies for ideals of compact sets
 J. SYMBOLIC LOGIC
"... We prove several trichotomy results for ideals of compact sets. Typically, we show that a “sufficiently rich” universally Baire ideal is either Π 0 3hard, or Σ 0 3hard, or else a σideal. ..."
Abstract

Cited by 5 (3 self)
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We prove several trichotomy results for ideals of compact sets. Typically, we show that a “sufficiently rich” universally Baire ideal is either Π 0 3hard, or Σ 0 3hard, or else a σideal.
Ramsey theorems parametrized by a measure
, 2009
"... I show how Ramseytype theorems can be naturally parametrized with a probability measure and prove several of the resulting statements. ..."
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I show how Ramseytype theorems can be naturally parametrized with a probability measure and prove several of the resulting statements.
Reviewed by Małgorzata Filipczak References
"... A note on Gδ ideals of compact sets. (English summary) ..."
KENILWORTH
, 1997
"... We construct a Gδ σideal I of compact subsets of 2ω such that I contains all the singletons but there is no dense Gδ set D ⊆ 2ω such that {K ⊆ D: K compact} ⊆ I. This answers a question of A. S. Kechris in the negative. ..."
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We construct a Gδ σideal I of compact subsets of 2ω such that I contains all the singletons but there is no dense Gδ set D ⊆ 2ω such that {K ⊆ D: K compact} ⊆ I. This answers a question of A. S. Kechris in the negative.