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Quasi-inverse involution categories, inverse categories

Marco Grandis — 1976

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Vengono enunciati alcuni risultati concernenti le categorie con involuzione, e in particolare la categoria delle relazioni (o corrispondenze) di una categoria esatta.

Natural weak factorization systems

Marco GrandisWalter Tholen — 2006

Archivum Mathematicum

In order to facilitate a natural choice for morphisms created by the (left or right) lifting property as used in the definition of weak factorization systems, the notion of natural weak factorization system in the category 𝒦 is introduced, as a pair (comonad, monad) over 𝒦 2 . The link with existing notions in terms of morphism classes is given via the respective Eilenberg–Moore categories.

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