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arXiv · 1910.09423

Filters and G-convergence in Categories

Joaquin Luna-Torres
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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.

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Joaquin Luna-Torres. 2019-10-21. Filters and G-convergence in Categories. https://arxiv.org/abs/1910.09423

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