English

Approximation Theory and Elementary Submodels

Logic 2024-06-13 v2 Commutative Algebra Category Theory Rings and Algebras

Abstract

\emph{Approximation Theory} uses nicely-behaved subcategories to understand entire categories, just as projective modules are used to approximate arbitrary modules in classical homological algebra. We use set-theoretic \emph{elementary submodel arguments} to give new, short proofs of well-known theorems in approximation theory, sometimes with stronger results.

Keywords

Cite

@article{arxiv.2405.19634,
  title  = {Approximation Theory and Elementary Submodels},
  author = {Sean Cox},
  journal= {arXiv preprint arXiv:2405.19634},
  year   = {2024}
}

Comments

Minor corrections

R2 v1 2026-06-28T16:46:33.392Z