ON INFINITE MATROIDS WITH STRONG MAPS: PROTO-EXACTNESS AND FINITENESS CONDITIONS

被引：0

作者：

Eppolito, Chris ^{[1
]}

Jun, Jaiung

机构：

[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA

来源：

THEORY AND APPLICATIONS OF CATEGORIES | 2022年 / 38卷

关键词：

Proto-exact category; infinite matroids; finitary matroids;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 characterize finitary matroids as co-limits of finite matroids and show that the finitely presentable objects in this category are the finite matroids.

引用

页码：319 / 327

页数：9

共 29 条

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