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math.CO2021
On Infinite Matroids with Strong Maps: Proto-exactness and Finiteness Conditions
Chris Eppolito, Jaiung Jun
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 K…
math.CO2018
Matroid-minor Hopf algebra: a cancellation-free antipode formula and other applications of sign-reversing involutions
Eric Bucher, Chris Eppolito, Jaiung Jun +1
In this paper, we give a cancellation-free antipode formula for the matroid-minor Hopf algebra. We then explore applications of this formula. For example, the cancellation-free for…
math.CO2017
Hopf algebras for matroids over hyperfields
Christopher Eppolito, Jaiung Jun, Matt Szczesny
Recently, M.~Baker and N.~Bowler introduced the notion of matroids over hyperfields as a unifying theory of various generalizations of matroids. In this paper we generalize the not…