On Infinite Matroids with Strong Maps: Proto-exactness and Finiteness Conditions
Combinatorics
2021-09-01 v1 Category Theory
Abstract
This paper investigates infinite matroids from a categorical perspective. We prove that the category of infinite matroids is a proto-exact category in the sense of Dyckerhoff and Kapranov, thereby generalizing our previous result on the category of finite matroids. We also characterize finitary matroids as co-limits of finite matroids, and show that the finite matroids are precisely the finitely presentable objects in this category.
Keywords
Cite
@article{arxiv.2108.13745,
title = {On Infinite Matroids with Strong Maps: Proto-exactness and Finiteness Conditions},
author = {Chris Eppolito and Jaiung Jun},
journal= {arXiv preprint arXiv:2108.13745},
year = {2021}
}
Comments
7 pages, 0 figures