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## Fundamenta Mathematicae

2005 | 186 | 3 | 215-231
Tytuł artykułu

### The nonexistence of robust codes for subsets of ω₁

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EN
Abstrakty
EN
Several results are presented concerning the existence or nonexistence, for a subset S of ω₁, of a real r which works as a robust code for S with respect to a given sequence $⟨S_α: α < ω₁⟩$ of pairwise disjoint stationary subsets of ω₁, where "robustness" of r as a code may either mean that $S ∈ L[r,⟨S*_α: α < ω₁⟩]$ whenever each $S*_α$ is equal to $S_α$ modulo nonstationary changes, or may have the weaker meaning that $S ∈ L[r,⟨S_α ∩ C: α < ω₁⟩]$ for every club C ⊆ ω₁. Variants of the above theme are also considered which result when the requirement that S gets exactly coded is replaced by the weaker requirement that some set is coded which is equal to S up to a club, and when sequences of stationary sets are replaced by decoding devices possibly carrying more information (like functions from ω₁ into ω₁).
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Tom
Numer
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215-231
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Daty
wydano
2005
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autor
• Department of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW, England, UK
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