English

On the uniqueness of cellular injectives

Category Theory 2020-12-07 v2 Functional Analysis

Abstract

A. Avil\'es and C. Brech proved a intriguing result about the existence and uniqueness of certain injective Boolean algebras or Banach spaces. Their result refines the standard existence and uniqueness of saturated models. They express a wish to obtain a unified approach in the context of category theory. We provide this in the framework of weak factorization systems. Our basic tool is the fat small object argument.

Keywords

Cite

@article{arxiv.1702.08684,
  title  = {On the uniqueness of cellular injectives},
  author = {Jiří Rosický},
  journal= {arXiv preprint arXiv:1702.08684},
  year   = {2020}
}