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1 results

  • Full reflection at a measurable cardinal

  • Thomas Jech, Jiří Witzany
  • Journal:
    The Journal of Symbolic Logic / Volume 59 / Issue 2 / June 1994
    Published online by Cambridge University Press:
    12 March 2014, pp. 615-630
    Print publication:
    June 1994

  • A stationary subset S of a regular uncountable cardinal κreflects fully at regular cardinals if for every stationary set T ⊆ κ of higher order consisting of regular cardinals there exists an α Є T such that S ∩ α is a stationary subset of α. Full Reflection states that every stationary set reflects fully at regular cardinals. We will prove that under a slightly weaker assumption than κ having the Mitchell order κ++ it is consistent that Full Reflection holds at every λ ≤ κ and κ is measurable.