Filters and G-convergence in Categories
Category Theory
2019-10-22 v1
Abstract
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.
Cite
@article{arxiv.1910.09423,
title = {Filters and G-convergence in Categories},
author = {Joaquin Luna-Torres},
journal= {arXiv preprint arXiv:1910.09423},
year = {2019}
}