• Corpus ID: 227210687

A pretorsion theory for the category of all categories

@article{Xarez2020APT,
  title={A pretorsion theory for the category of all categories},
  author={Jo{\~a}o J. Xarez},
  journal={arXiv: Category Theory},
  year={2020}
}
  • J. Xarez
  • Published 26 November 2020
  • Mathematics
  • arXiv: Category Theory
A pretorsion theory for the category of all categories is presented. The associated prekernels and precokernels are calculated for every functor. 
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4 Citations
Background Citations
1

4 Citations

Pretorsion theories in lextensive categories
. We propose a construction of a stable category for any pretorsion theory in a lextensive category. We prove the universal property of the stable category, that extends previous results obtained for…
The stable category of preorders in a pretopos II: the universal property
. We prove that the stable category associated with the category PreOrd ( C ) of internal preorders in a pretopos C satisfies a universal property. The canonical functor from PreOrd ( C ) to the…
The stable category of preorders in a pretopos I: general theory
Groupoids and skeletal categories form a pretorsion theory in $\mathsf{Cat}$
We describe a pretorsion theory in the category Cat of small categories: the torsion objects are the groupoids, while the torsion-free objects are the skeletal categories, i.e. , those categories in…

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