English

Approximate categorical structures

Category Theory 2015-11-06 v1 Metric Geometry

Abstract

We consider notions of metrized categories, and then approximate categorical structures defined by a function of three variables generalizing the notion of 22-metric space. We prove an embedding theorem giving sufficient conditions for an approximate categorical structure to come from an inclusion into a metrized category.

Keywords

Cite

@article{arxiv.1511.01532,
  title  = {Approximate categorical structures},
  author = {Abdelkrim Aliouche and Carlos Simpson},
  journal= {arXiv preprint arXiv:1511.01532},
  year   = {2015}
}
R2 v1 2026-06-22T11:37:52.152Z