A partial order where all monotone maps are definable

Martin Goldstern; Saharon Shelah

doi:10.4064/fm-152-3-255-265

A partial order where all monotone maps are definable

Martin Goldstern^*, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

It is consistent that there is a partial order (P, ≤) of size N₁ such that every monotone function f : P → P is first order definable in (P, ≤).

Original language	English
Pages (from-to)	255-265
Number of pages	11
Journal	Fundamenta Mathematicae
Volume	152
Issue number	3
DOIs	https://doi.org/10.4064/fm-152-3-255-265
State	Published - 1997

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title = "A partial order where all monotone maps are definable",

abstract = "It is consistent that there is a partial order (P, ≤) of size N1 such that every monotone function f : P → P is first order definable in (P, ≤).",

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A partial order where all monotone maps are definable

Abstract

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