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arxiv: math/9207204 · v1 · submitted 1992-07-30 · 🧮 math.LO

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Donder's Version of Revised Countable Support

Ulrich Fuchs
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classification 🧮 math.LO
keywords iterationcountabledonderrevisedsupportaleph1approachbetter
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Shelah introduced the revised countable support (RCS) iteration to iterate semiproperness. This was an endpoint in the search for an iteration of a weak condition, still implying that aleph1 is preserved. Dieter Donder found a better manageable approach to this iteration, which is presented here.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A Topological Rainbow Ramsey Theorem

    math.LO 2026-05 unverdicted novelty 7.0

    It is consistent relative to suitable large cardinals that any countable-to-one coloring of pairs from ω₂ admits an injective restriction to some closed subset of order type ω₁.

  2. A Topological Rainbow Ramsey Theorem

    math.LO 2026-05 unverdicted novelty 7.0

    It is consistent relative to large cardinals that every countable-to-one coloring c of pairs from ω₂ has a closed subset A of order type ω₁ on which c is injective.