A partial order where all monotone maps are definable

Volume 152 / 1997

Martin Goldstern, Saharon Shelah Fundamenta Mathematicae 152 (1997), 255-265 DOI: 10.4064/fm-152-3-255-265


It is consistent that there is a partial order (P,≤) of size $ℵ_1$ such that every monotone function f:P → P is first order definable in (P,≤).


  • Martin Goldstern
  • Saharon Shelah

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