Weak saturation and weak amalgamation property

Ivan Di Liberti

doi:10.1017/jsl.2019.45

Weak saturation and weak amalgamation property

Category Theory 2025-08-06 v2 Logic

Authors: Ivan Di Liberti

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Abstract

The two model-theoretic concepts of weak saturation and weak amalgamation property are studied in the context of accessible categories. We relate these two concepts providing sufficient conditions for existence and uniqueness of weakly saturated objects of an accessible category K. We discuss the implications of this fact in classical model theory.

Keywords

weak convergence topological properties

Cite

@article{arxiv.1708.02738,
  title  = {Weak saturation and weak amalgamation property},
  author = {Ivan Di Liberti},
  journal= {arXiv preprint arXiv:1708.02738},
  year   = {2025}
}