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math.CT2008★ 1 cited
Balanced category theory
Claudio Pisani
Some aspects of basic category theory are developed in a finitely complete category $\C$, endowed with two factorization systems which determine the same discrete objects and are l…
math.CT2007★ 1 cited
Categories of categories
Claudio Pisani
A certain amount of category theory is developed in an arbitrary finitely complete category with a factorization system on it, playing the role of the comprehensive factorization s…
math.CT2007★ 1 cited
Components, complements and reflection formulas
Claudio Pisani
Some basic features of the simultaneous inclusion of discrete fibrations and discrete opfibrations in categories over a base category X are considered. In particular, we illustrate…