Colimits of Enriched Categories

Andy Sukowski-Bang

Colimits of Enriched Categories

Category Theory 2026-07-08 v1

Authors: Andy Sukowski-Bang

Abstract

We introduce categories of strings to give an explicit hom-object formula for colimits of enriched categories. As corollaries, we recover the necklace construction by Dugger and Spivak and describe colimits in $\mathrm{Cat}$ and of Lawvere metric spaces.

Cite

@article{arxiv.2607.07780,
  title  = {Colimits of Enriched Categories},
  author = {Andy Sukowski-Bang},
  journal= {arXiv preprint arXiv:2607.07780},
  year   = {2026}
}

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