2021/08/31 by Eppolito, Chris, Jun, Jaiung · 1 citation
#18D99 (Primary) 05B35 (Secondary) #Category Theory (math.CT) #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2108.13745
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.