Fra\"iss\'e limit via forcing

Mohammad Golshani

Fra\"iss\'e limit via forcing

Logic 2021-09-24 v2

Authors: Mohammad Golshani

Abstract

Given a Fra\"{i}ss\'{e} class $\mathcal{K}$ and an infinite cardinal $\kappa,$ we define a forcing notion which adds a structure of size $\kappa$ using elements of $\mathcal{K}$ , which extends the Fra\"{i}ss\'{e} construction in the case $\kappa=\omega.$

Keywords

set theory forcing

Cite

@article{arxiv.1902.06206,
  title  = {Fra\"iss\'e limit via forcing},
  author = {Mohammad Golshani},
  journal= {arXiv preprint arXiv:1902.06206},
  year   = {2021}
}

Comments

The claim on the homogeneity of the structure was wrong, which is now removed

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