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math.RT2024
Constructions of Waldhausen categories via Grothendieck opfibrations
Zhenxing Di, Liping Li, Li Liang
Given a Grothendieck opfibration , we describe a method to construct a Waldhausen category structure on the total category via combini…
math.CT2024
Compatible weak factorization systems and model structures
Zhenxing Di, Liping Li, Li Liang
In this paper the concept of compatible weak factorization systems in general categories is introduced as a counterpart of compatible complete cotorsion pairs in abelian categories…
math.RT2024
Representations of -type combinatorial categories
Zhenxing Di, Liping Li, Li Liang
In this paper we consider representations of certain combinatorial categories, including the poset $\D$ of positive integers and division, the Young lattice of partit…