Completion under strong homotopy cokernels
Category Theory
2023-10-03 v1
Abstract
For A a category with finite colimits, we show that the embedding of A into the category of arrows Arr(A) determined by the initial object is the completion of A under strong homotopy cokernels. The nullhomotopy structure of Arr(A) (needed in order to express the notion of homotopy cokernel) is the usual one induced by the canonical string of adjunctions between A and Arr(A).
Cite
@article{arxiv.2310.00279,
title = {Completion under strong homotopy cokernels},
author = {Enrico M. Vitale},
journal= {arXiv preprint arXiv:2310.00279},
year = {2023}
}
Comments
23 pages, comments are welcome