• Corpus ID: 204801028

Filters and G-convergence in Categories

@article{LunaTorres2019FiltersAG,
  title={Filters and G-convergence in Categories},
  author={Joaqu{\'i}n Luna-Torres},
  journal={arXiv: Category Theory},
  year={2019}
}
In analogy with the classical theory of filters, for finitely complete categories, we provide the concepts of filter, G-neighborhood (short for \Grothendieck-neighborhood") and cover-neighborhood of a point, with the aim of studying convergence, cluster point and closure of sieves on objects of that kind of categories. 

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