Geodesic
On Infinite Matroids with Strong Maps: Proto-Exactness and Finiteness Conditions
Theory and applications of categories, Tome 38 (2022), pp. 319-327
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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.

Publié le :
Classification : 18D99, 05B35
Keywords: Proto-exact category, infinite matroids, finitary matroids 
@article{TAC_2022_38_a10,
     author = {Chris Eppolito and Jaiung Jun},
     title = {On {Infinite} {Matroids} with {Strong} {Maps:
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     journal = {Theory and applications of categories},
     pages = {319--327},
     year = {2022},
     volume = {38},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2022_38_a10/}
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  Proto-Exactness and Finiteness Conditions
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Chris Eppolito; Jaiung Jun. On Infinite Matroids with Strong Maps:
  Proto-Exactness and Finiteness Conditions. Theory and applications of categories, Tome 38 (2022), pp. 319-327. http://geodesic.mathdoc.fr/item/TAC_2022_38_a10/